83637459360 has 768 divisors, whose sum is σ = 371960709120. Its totient is φ = 17074851840.

The previous prime is 83637459319. The next prime is 83637459377. The reversal of 83637459360 is 6395473638.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83637459297 and 83637459306.

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, 12183289 + ... + 12190151.

It is an arithmetic number, because the mean of its divisors is an integer number (484323840).

Almost surely, 2^83637459360 is an apocalyptic number.

83637459360 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 83637459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185980354560).

83637459360 is an abundant number, since it is smaller than the sum of its proper divisors (288323249760).

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

83637459360 is a wasteful number, since it uses less digits than its factorization.

83637459360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6938 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 83637459360 in words is "eighty-three billion, six hundred thirty-seven million, four hundred fifty-nine thousand, three hundred sixty".