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670408704 = 213337433
BaseRepresentation
bin100111111101011…
…010000000000000
31201201111021212000
4213331122000000
52333111034304
6150305104000
722420244220
oct4775320000
91651437760
10670408704
11314478a89
12168628000
13a8b7b454
1465074080
153dcc9939
hex27f5a000

670408704 has 224 divisors, whose sum is σ = 2275271040. Its totient is φ = 191102976.

The previous prime is 670408693. The next prime is 670408709. The reversal of 670408704 is 407804076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (670408709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548072 + ... + 1548504.

It is an arithmetic number, because the mean of its divisors is an integer number (10157460).

Almost surely, 2670408704 is an apocalyptic number.

670408704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137635520).

670408704 is an abundant number, since it is smaller than the sum of its proper divisors (1604862336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

670408704 is an equidigital number, since it uses as much as digits as its factorization.

670408704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 670408704 is about 25892.2518140080. The cubic root of 670408704 is about 875.2119014409.

The spelling of 670408704 in words is "six hundred seventy million, four hundred eight thousand, seven hundred four".