677279568000 has 1024 divisors, whose sum is σ = 2704785408000. Its totient is φ = 149700096000.

The previous prime is 677279567989. The next prime is 677279568073. The reversal of 677279568000 is 865972776.

It is a super-2 number, since 2×677279568000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 510383337 + ... + 510384663.

It is an arithmetic number, because the mean of its divisors is an integer number (2641392000).

Almost surely, 2^677279568000 is an apocalyptic number.

677279568000 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 677279568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352392704000).

677279568000 is an abundant number, since it is smaller than the sum of its proper divisors (2027505840000).

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

677279568000 is a wasteful number, since it uses less digits than its factorization.

677279568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 677279568000 in words is "six hundred seventy-seven billion, two hundred seventy-nine million, five hundred sixty-eight thousand".