635374080 has 480 divisors, whose sum is σ = 2527873920. Its totient is φ = 145981440.

The previous prime is 635374067. The next prime is 635374081. The reversal of 635374080 is 80473536.

It is a happy number.

635374080 is a `hidden beast` number, since 6 + 3 + 537 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (635374081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5829066 + ... + 5829174.

It is an arithmetic number, because the mean of its divisors is an integer number (5266404).

Almost surely, 2^635374080 is an apocalyptic number.

635374080 is a gapful number since it is divisible by the number (60) 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 635374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263936960).

635374080 is an abundant number, since it is smaller than the sum of its proper divisors (1892499840).

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

635374080 is a wasteful number, since it uses less digits than its factorization.

635374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 635374080 is about 25206.6276998729. The cubic root of 635374080 is about 859.6925528023.

The spelling of 635374080 in words is "six hundred thirty-five million, three hundred seventy-four thousand, eighty".