877902560640 has 1152 divisors, whose sum is σ = 3627821433600. Its totient is φ = 191610593280.

The previous prime is 877902560567. The next prime is 877902560669. The reversal of 877902560640 is 46065209778.

877902560640 is a `hidden beast` number, since 8 + 7 + 7 + 9 + 0 + 25 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 5385905199 + ... + 5385905361.

It is an arithmetic number, because the mean of its divisors is an integer number (3149150550).

Almost surely, 2^877902560640 is an apocalyptic number.

877902560640 is a gapful number since it is divisible by the number (80) 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 877902560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813910716800).

877902560640 is an abundant number, since it is smaller than the sum of its proper divisors (2749918872960).

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

877902560640 is a wasteful number, since it uses less digits than its factorization.

877902560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 877902560640 in words is "eight hundred seventy-seven billion, nine hundred two million, five hundred sixty thousand, six hundred forty".