82935000648 has 192 divisors, whose sum is σ = 234725325120. Its totient is φ = 26431142400.

The previous prime is 82935000641. The next prime is 82935000653. The reversal of 82935000648 is 84600053928.

82935000648 is a `hidden beast` number, since 82 + 9 + 3 + 500 + 0 + 64 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (82935000641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37340178 + ... + 37342398.

It is an arithmetic number, because the mean of its divisors is an integer number (1222527735).

Almost surely, 2^82935000648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82935000648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117362662560).

82935000648 is an abundant number, since it is smaller than the sum of its proper divisors (151790324472).

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

82935000648 is a wasteful number, since it uses less digits than its factorization.

82935000648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2501 counting only the distinct ones).

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

The spelling of 82935000648 in words is "eighty-two billion, nine hundred thirty-five million, six hundred forty-eight", and thus it is an aban number.