82614631680 has 432 divisors, whose sum is σ = 327567711744. Its totient is φ = 18831605760.

The previous prime is 82614631667. The next prime is 82614631681. The reversal of 82614631680 is 8613641628.

82614631680 is a `hidden beast` number, since 8 + 2 + 6 + 1 + 4 + 631 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82614631681) by changing a digit.

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, 34754652 + ... + 34757028.

It is an arithmetic number, because the mean of its divisors is an integer number (758258592).

Almost surely, 2^82614631680 is an apocalyptic number.

82614631680 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 82614631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163783855872).

82614631680 is an abundant number, since it is smaller than the sum of its proper divisors (244953080064).

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

82614631680 is a wasteful number, since it uses less digits than its factorization.

82614631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 82614631680 in words is "eighty-two billion, six hundred fourteen million, six hundred thirty-one thousand, six hundred eighty".