82717660704 has 96 divisors (see below), whose sum is σ = 253924070400. Its totient is φ = 23083990272.

The previous prime is 82717660681. The next prime is 82717660709. The reversal of 82717660704 is 40706671728.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82717660704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82717660709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402404 + ... + 1460195.

It is an arithmetic number, because the mean of its divisors is an integer number (2645042400).

Almost surely, 2^82717660704 is an apocalyptic number.

82717660704 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82717660704 is an abundant number, since it is smaller than the sum of its proper divisors (171206409696).

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

82717660704 is a wasteful number, since it uses less digits than its factorization.

82717660704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862662 (or 2862654 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 82717660704 in words is "eighty-two billion, seven hundred seventeen million, six hundred sixty thousand, seven hundred four".