677352919320 has 640 divisors, whose sum is σ = 2844642240000. Its totient is φ = 140440780800.

The previous prime is 677352919297. The next prime is 677352919337. The reversal of 677352919320 is 23919253776.

677352919320 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 529 + 1 + 93 + 20 = 666.

It is a super-2 number, since 2×677352919320² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124487800 + ... + 124493240.

It is an arithmetic number, because the mean of its divisors is an integer number (4444753500).

Almost surely, 2^677352919320 is an apocalyptic number.

677352919320 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 677352919320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422321120000).

677352919320 is an abundant number, since it is smaller than the sum of its proper divisors (2167289320680).

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

677352919320 is a wasteful number, since it uses less digits than its factorization.

677352919320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 677352919320 in words is "six hundred seventy-seven billion, three hundred fifty-two million, nine hundred nineteen thousand, three hundred twenty".