83679768000 has 168 divisors, whose sum is σ = 299336734320. Its totient is φ = 22314585600.

The previous prime is 83679767971. The next prime is 83679768017. The reversal of 83679768000 is 86797638.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509110 + ... + 653109.

Almost surely, 2^83679768000 is an apocalyptic number.

83679768000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83679768000 is an abundant number, since it is smaller than the sum of its proper divisors (215656966320).

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

83679768000 is a wasteful number, since it uses less digits than its factorization.

83679768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162252 (or 1162229 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 83679768000 in words is "eighty-three billion, six hundred seventy-nine million, seven hundred sixty-eight thousand".