83679977805424 has 320 divisors, whose sum is σ = 219547388067840. Its totient is φ = 29837808000000.

The previous prime is 83679977805419. The next prime is 83679977805443. The reversal of 83679977805424 is 42450877997638.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1671869199 + ... + 1671919249.

It is an arithmetic number, because the mean of its divisors is an integer number (686085587712).

Almost surely, 2^{83679977805424} 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 83679977805424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109773694033920).

83679977805424 is an abundant number, since it is smaller than the sum of its proper divisors (135867410262416).

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

83679977805424 is a wasteful number, since it uses less digits than its factorization.

83679977805424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50980 (or 50974 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 79.

The spelling of 83679977805424 in words is "eighty-three trillion, six hundred seventy-nine billion, nine hundred seventy-seven million, eight hundred five thousand, four hundred twenty-four".