677390732928 has 1024 divisors, whose sum is σ = 2539555200000. Its totient is φ = 176616308736.

The previous prime is 677390732927. The next prime is 677390732929. The reversal of 677390732928 is 829237093776.

It is an interprime number because it is at equal distance from previous prime (677390732927) and next prime (677390732929).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (677390732923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1741364158 + ... + 1741364546.

It is an arithmetic number, because the mean of its divisors is an integer number (2480034375).

Almost surely, 2^677390732928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677390732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600000).

677390732928 is an abundant number, since it is smaller than the sum of its proper divisors (1862164467072).

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

677390732928 is a wasteful number, since it uses less digits than its factorization.

677390732928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 677390732928 in words is "six hundred seventy-seven billion, three hundred ninety million, seven hundred thirty-two thousand, nine hundred twenty-eight".