82714689792 has 108 divisors (see below), whose sum is σ = 272556444160. Its totient is φ = 23632763904.

The previous prime is 82714689767. The next prime is 82714689797. The reversal of 82714689792 is 29798641728.

82714689792 is a `hidden beast` number, since 82 + 7 + 1 + 468 + 9 + 7 + 92 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82714689797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2548192 + ... + 2580447.

Almost surely, 2^82714689792 is an apocalyptic number.

It is an amenable number.

82714689792 is an abundant number, since it is smaller than the sum of its proper divisors (189841754368).

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

82714689792 is a wasteful number, since it uses less digits than its factorization.

82714689792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128668 (or 5128651 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 82714689792 in words is "eighty-two billion, seven hundred fourteen million, six hundred eighty-nine thousand, seven hundred ninety-two".