677844685440 has 256 divisors, whose sum is σ = 2585370009600. Its totient is φ = 166854021120.

The previous prime is 677844685433. The next prime is 677844685457. The reversal of 677844685440 is 44586448776.

677844685440 is a `hidden beast` number, since 6 + 7 + 7 + 84 + 4 + 6 + 8 + 544 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284096 + ... + 1733375.

It is an arithmetic number, because the mean of its divisors is an integer number (10099101600).

Almost surely, 2^677844685440 is an apocalyptic number.

677844685440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677844685440 is an abundant number, since it is smaller than the sum of its proper divisors (1907525324160).

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

677844685440 is a wasteful number, since it uses less digits than its factorization.

677844685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017512 (or 3017494 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 677844685440 in words is "six hundred seventy-seven billion, eight hundred forty-four million, six hundred eighty-five thousand, four hundred forty".