83627919360 has 576 divisors, whose sum is σ = 308013451200. Its totient is φ = 20925775872.

The previous prime is 83627919359. The next prime is 83627919371. The reversal of 83627919360 is 6391972638.

83627919360 is a `hidden beast` number, since 8 + 3 + 6 + 279 + 1 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 83627919297 and 83627919306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285419374 + ... + 285419666.

It is an arithmetic number, because the mean of its divisors is an integer number (534745575).

Almost surely, 2^83627919360 is an apocalyptic number.

83627919360 is a gapful number since it is divisible by the number (80) 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 83627919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154006725600).

83627919360 is an abundant number, since it is smaller than the sum of its proper divisors (224385531840).

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

83627919360 is a wasteful number, since it uses less digits than its factorization.

83627919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 83627919360 in words is "eighty-three billion, six hundred twenty-seven million, nine hundred nineteen thousand, three hundred sixty".