670315680 has 288 divisors, whose sum is σ = 2455899264. Its totient is φ = 166053888.

The previous prime is 670315673. The next prime is 670315741. The reversal of 670315680 is 86513076.

670315680 is a `hidden beast` number, since 67 + 0 + 31 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×670315680² = 898646221707724800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1225167 + ... + 1225713.

It is an arithmetic number, because the mean of its divisors is an integer number (8527428).

Almost surely, 2^670315680 is an apocalyptic number.

670315680 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 670315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227949632).

670315680 is an abundant number, since it is smaller than the sum of its proper divisors (1785583584).

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

670315680 is a wasteful number, since it uses less digits than its factorization.

670315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 670315680 is about 25890.4553841758. The cubic root of 670315680 is about 875.1714189326.

The spelling of 670315680 in words is "six hundred seventy million, three hundred fifteen thousand, six hundred eighty".