8957679494400 has 2592 divisors, whose sum is σ = 43578484548480. Its totient is φ = 1778425528320.

The previous prime is 8957679494377. The next prime is 8957679494441. The reversal of 8957679494400 is 44949767598.

8957679494400 is a `hidden beast` number, since 8 + 9 + 5 + 76 + 79 + 49 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 1871248807 + ... + 1871253593.

It is an arithmetic number, because the mean of its divisors is an integer number (16812686940).

Almost surely, 2^{8957679494400} is an apocalyptic number.

8957679494400 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 8957679494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21789242274240).

8957679494400 is an abundant number, since it is smaller than the sum of its proper divisors (34620805054080).

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

8957679494400 is a wasteful number, since it uses less digits than its factorization.

8957679494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 8957679494400 in words is "eight trillion, nine hundred fifty-seven billion, six hundred seventy-nine million, four hundred ninety-four thousand, four hundred".