82414632960 has 384 divisors, whose sum is σ = 311733742320. Its totient is φ = 19975372800.

The previous prime is 82414632941. The next prime is 82414633001. The reversal of 82414632960 is 6923641428.

82414632960 is a `hidden beast` number, since 8 + 2 + 4 + 1 + 4 + 632 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 23 ways as a sum of consecutive naturals, for example, 16217620 + ... + 16222700.

Almost surely, 2^82414632960 is an apocalyptic number.

82414632960 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 82414632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155866871160).

82414632960 is an abundant number, since it is smaller than the sum of its proper divisors (229319109360).

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

82414632960 is a wasteful number, since it uses less digits than its factorization.

82414632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5102 counting only the distinct ones).

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

The spelling of 82414632960 in words is "eighty-two billion, four hundred fourteen million, six hundred thirty-two thousand, nine hundred sixty".