677032131456 has 640 divisors, whose sum is σ = 2159711769600. Its totient is φ = 210163507200.

The previous prime is 677032131439. The next prime is 677032131469. The reversal of 677032131456 is 654131230776.

677032131456 is a `hidden beast` number, since 6 + 7 + 7 + 0 + 321 + 314 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1093751115 + ... + 1093751733.

It is an arithmetic number, because the mean of its divisors is an integer number (3374549640).

Almost surely, 2^677032131456 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 677032131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079855884800).

677032131456 is an abundant number, since it is smaller than the sum of its proper divisors (1482679638144).

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

677032131456 is a wasteful number, since it uses less digits than its factorization.

677032131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 677032131456 in words is "six hundred seventy-seven billion, thirty-two million, one hundred thirty-one thousand, four hundred fifty-six".