83507744320 has 336 divisors, whose sum is σ = 271766190528. Its totient is φ = 24025559040.

The previous prime is 83507744237. The next prime is 83507744351. The reversal of 83507744320 is 2344770538.

It is a super-2 number, since 2×83507744320² (a number of 23 digits) contains 22 as substring.

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, 2223619 + ... + 2260861.

It is an arithmetic number, because the mean of its divisors is an integer number (808827948).

Almost surely, 2^83507744320 is an apocalyptic number.

83507744320 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 83507744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135883095264).

83507744320 is an abundant number, since it is smaller than the sum of its proper divisors (188258446208).

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

83507744320 is a wasteful number, since it uses less digits than its factorization.

83507744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37298 (or 37281 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 83507744320 in words is "eighty-three billion, five hundred seven million, seven hundred forty-four thousand, three hundred twenty".