92164668583680 has 4608 divisors, whose sum is σ = 447518815027200. Its totient is φ = 17382010060800.

The previous prime is 92164668583633. The next prime is 92164668583723. The reversal of 92164668583680 is 8638586646129.

92164668583680 is a `hidden beast` number, since 9 + 2 + 1 + 6 + 466 + 8 + 5 + 83 + 6 + 80 = 666.

It is a super-2 number, since 2×92164668583680² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 92164668583599 and 92164668583608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 199059759129 + ... + 199059759591.

It is an arithmetic number, because the mean of its divisors is an integer number (97117798400).

Almost surely, 2^{92164668583680} is an apocalyptic number.

92164668583680 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 92164668583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223759407513600).

92164668583680 is an abundant number, since it is smaller than the sum of its proper divisors (355354146443520).

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

92164668583680 is a wasteful number, since it uses less digits than its factorization.

92164668583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 92164668583680 in words is "ninety-two trillion, one hundred sixty-four billion, six hundred sixty-eight million, five hundred eighty-three thousand, six hundred eighty".