82374568960 has 176 divisors, whose sum is σ = 215982408960. Its totient is φ = 30010245120.

The previous prime is 82374568919. The next prime is 82374568961. The reversal of 82374568960 is 6986547328.

It is a super-2 number, since 2×82374568960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82374568895 and 82374568904.

It is not an unprimeable number, because it can be changed into a prime (82374568961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2682976 + ... + 2713504.

Almost surely, 2^82374568960 is an apocalyptic number.

82374568960 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 82374568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107991204480).

82374568960 is an abundant number, since it is smaller than the sum of its proper divisors (133607840000).

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

82374568960 is a wasteful number, since it uses less digits than its factorization.

82374568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30602 (or 30584 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 82374568960 in words is "eighty-two billion, three hundred seventy-four million, five hundred sixty-eight thousand, nine hundred sixty".