82312644960 has 768 divisors, whose sum is σ = 364225075200. Its totient is φ = 16894697472.

The previous prime is 82312644907. The next prime is 82312644971. The reversal of 82312644960 is 6944621328.

82312644960 is a `hidden beast` number, since 8 + 23 + 126 + 449 + 60 = 666.

It is a super-2 number, since 2×82312644960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 14542611 + ... + 14548269.

It is an arithmetic number, because the mean of its divisors is an integer number (474251400).

Almost surely, 2^82312644960 is an apocalyptic number.

82312644960 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 82312644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182112537600).

82312644960 is an abundant number, since it is smaller than the sum of its proper divisors (281912430240).

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

82312644960 is a wasteful number, since it uses less digits than its factorization.

82312644960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 82312644960 in words is "eighty-two billion, three hundred twelve million, six hundred forty-four thousand, nine hundred sixty".