82640563200 has 1056 divisors, whose sum is σ = 346688435520. Its totient is φ = 19110297600.

The previous prime is 82640563199. The next prime is 82640563223. The reversal of 82640563200 is 236504628.

82640563200 is a `hidden beast` number, since 8 + 2 + 640 + 5 + 6 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 152754930 + ... + 152755470.

Almost surely, 2^82640563200 is an apocalyptic number.

82640563200 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 82640563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173344217760).

82640563200 is an abundant number, since it is smaller than the sum of its proper divisors (264047872320).

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

82640563200 is a wasteful number, since it uses less digits than its factorization.

82640563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 82640563200 in words is "eighty-two billion, six hundred forty million, five hundred sixty-three thousand, two hundred".