670918256640 has 576 divisors, whose sum is σ = 2442643257600. Its totient is φ = 176595075072.

The previous prime is 670918256627. The next prime is 670918256653. The reversal of 670918256640 is 46652819076.

670918256640 is a `hidden beast` number, since 6 + 70 + 9 + 1 + 8 + 2 + 566 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (670918256627) and next prime (670918256653).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 196575574 + ... + 196578986.

It is an arithmetic number, because the mean of its divisors is an integer number (4240700100).

Almost surely, 2^670918256640 is an apocalyptic number.

670918256640 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 670918256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221321628800).

670918256640 is an abundant number, since it is smaller than the sum of its proper divisors (1771725000960).

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

670918256640 is an equidigital number, since it uses as much as digits as its factorization.

670918256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 670918256640 in words is "six hundred seventy billion, nine hundred eighteen million, two hundred fifty-six thousand, six hundred forty".