97777633906368 has 896 divisors, whose sum is σ = 330861837680640. Its totient is φ = 28049218928640.

The previous prime is 97777633906361. The next prime is 97777633906429. The reversal of 97777633906368 is 86360933677779.

97777633906368 is a `hidden beast` number, since 9 + 7 + 77 + 76 + 33 + 90 + 6 + 368 = 666.

It is not an unprimeable number, because it can be changed into a prime (97777633906361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44183294830 + ... + 44183297042.

It is an arithmetic number, because the mean of its divisors is an integer number (369265443840).

Almost surely, 2^{97777633906368} 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 97777633906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165430918840320).

97777633906368 is an abundant number, since it is smaller than the sum of its proper divisors (233084203774272).

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

97777633906368 is a wasteful number, since it uses less digits than its factorization.

97777633906368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 9073705536, while the sum is 81.

The spelling of 97777633906368 in words is "ninety-seven trillion, seven hundred seventy-seven billion, six hundred thirty-three million, nine hundred six thousand, three hundred sixty-eight".