677813710464 has 384 divisors, whose sum is σ = 2189459376000. Its totient is φ = 199467048960.

The previous prime is 677813710423. The next prime is 677813710471. The reversal of 677813710464 is 464017318776.

It is a happy number.

677813710464 is a `hidden beast` number, since 6 + 77 + 81 + 37 + 1 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 677813710464.

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, 332423557 + ... + 332425595.

It is an arithmetic number, because the mean of its divisors is an integer number (5701717125).

Almost surely, 2^677813710464 is an apocalyptic number.

677813710464 is a gapful number since it is divisible by the number (64) 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 677813710464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094729688000).

677813710464 is an abundant number, since it is smaller than the sum of its proper divisors (1511645665536).

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

677813710464 is a wasteful number, since it uses less digits than its factorization.

677813710464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 677813710464 in words is "six hundred seventy-seven billion, eight hundred thirteen million, seven hundred ten thousand, four hundred sixty-four".