92678668992 has 672 divisors, whose sum is σ = 343684555200. Its totient is φ = 24274059264.

The previous prime is 92678668963. The next prime is 92678669047. The reversal of 92678668992 is 29986687629.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×92678668992² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 92678668992.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296097828 + ... + 296098140.

It is an arithmetic number, because the mean of its divisors is an integer number (511435350).

Almost surely, 2^92678668992 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 92678668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171842277600).

92678668992 is an abundant number, since it is smaller than the sum of its proper divisors (251005886208).

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

92678668992 is a wasteful number, since it uses less digits than its factorization.

92678668992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 607 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 92678668992 in words is "ninety-two billion, six hundred seventy-eight million, six hundred sixty-eight thousand, nine hundred ninety-two".