82962512640 has 432 divisors, whose sum is σ = 328899287808. Its totient is φ = 18913665024.

The previous prime is 82962512587. The next prime is 82962512657. The reversal of 82962512640 is 4621526928.

82962512640 is a `hidden beast` number, since 8 + 2 + 9 + 625 + 12 + 6 + 4 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37657779 + ... + 37659981.

It is an arithmetic number, because the mean of its divisors is an integer number (761340944).

Almost surely, 2^82962512640 is an apocalyptic number.

82962512640 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 82962512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164449643904).

82962512640 is an abundant number, since it is smaller than the sum of its proper divisors (245936775168).

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

82962512640 is a wasteful number, since it uses less digits than its factorization.

82962512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 82962512640 in words is "eighty-two billion, nine hundred sixty-two million, five hundred twelve thousand, six hundred forty".