977875655040 has 384 divisors, whose sum is σ = 3423251351520. Its totient is φ = 257192755200.

The previous prime is 977875655011. The next prime is 977875655051. The reversal of 977875655040 is 40556578779.

977875655040 is a `hidden beast` number, since 9 + 7 + 7 + 8 + 75 + 6 + 550 + 4 + 0 = 666.

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

It is a congruent number.

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, 171524190 + ... + 171529890.

Almost surely, 2^977875655040 is an apocalyptic number.

977875655040 is a gapful number since it is divisible by the number (90) 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 977875655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711625675760).

977875655040 is an abundant number, since it is smaller than the sum of its proper divisors (2445375696480).

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

977875655040 is a wasteful number, since it uses less digits than its factorization.

977875655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 977875655040 in words is "nine hundred seventy-seven billion, eight hundred seventy-five million, six hundred fifty-five thousand, forty".