82937514240 has 864 divisors, whose sum is σ = 346485275136. Its totient is φ = 17907056640.

The previous prime is 82937514223. The next prime is 82937514269. The reversal of 82937514240 is 4241573928.

82937514240 is a `hidden beast` number, since 8 + 2 + 93 + 7 + 514 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179907610 + ... + 179908070.

It is an arithmetic number, because the mean of its divisors is an integer number (401024624).

Almost surely, 2^82937514240 is an apocalyptic number.

82937514240 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 82937514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173242637568).

82937514240 is an abundant number, since it is smaller than the sum of its proper divisors (263547760896).

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

82937514240 is a wasteful number, since it uses less digits than its factorization.

82937514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 82937514240 in words is "eighty-two billion, nine hundred thirty-seven million, five hundred fourteen thousand, two hundred forty".