83379747360 has 768 divisors, whose sum is σ = 332835471360. Its totient is φ = 17079828480.

The previous prime is 83379747337. The next prime is 83379747389. The reversal of 83379747360 is 6374797338.

It is a self number, because there is not a number n which added to its sum of digits gives 83379747360.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251902395 + ... + 251902725.

It is an arithmetic number, because the mean of its divisors is an integer number (433379520).

Almost surely, 2^83379747360 is an apocalyptic number.

83379747360 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 83379747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166417735680).

83379747360 is an abundant number, since it is smaller than the sum of its proper divisors (249455724000).

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

83379747360 is a wasteful number, since it uses less digits than its factorization.

83379747360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 57.

The spelling of 83379747360 in words is "eighty-three billion, three hundred seventy-nine million, seven hundred forty-seven thousand, three hundred sixty".