92666897664000 has 768 divisors, whose sum is σ = 338581386823680. Its totient is φ = 22315622400000.

The previous prime is 92666897663999. The next prime is 92666897664001. The reversal of 92666897664000 is 46679866629.

It is an interprime number because it is at equal distance from previous prime (92666897663999) and next prime (92666897664001).

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (92666897664001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1275611679 + ... + 1275684321.

It is an arithmetic number, because the mean of its divisors is an integer number (440861180760).

Almost surely, 2^{92666897664000} 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 92666897664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169290693411840).

92666897664000 is an abundant number, since it is smaller than the sum of its proper divisors (245914489159680).

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

92666897664000 is a wasteful number, since it uses less digits than its factorization.

92666897664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72845 (or 72815 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 92666897664000 in words is "ninety-two trillion, six hundred sixty-six billion, eight hundred ninety-seven million, six hundred sixty-four thousand".