82729672704 has 392 divisors, whose sum is σ = 283640844960. Its totient is φ = 23625105408.

The previous prime is 82729672667. The next prime is 82729672721. The reversal of 82729672704 is 40727692728.

It is a happy number.

82729672704 is a `hidden beast` number, since 82 + 7 + 296 + 7 + 270 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 41802787 + ... + 41804765.

Almost surely, 2^82729672704 is an apocalyptic number.

82729672704 is a gapful number since it is divisible by the number (84) 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 82729672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141820422480).

82729672704 is an abundant number, since it is smaller than the sum of its proper divisors (200911172256).

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

82729672704 is an frugal number, since it uses more digits than its factorization.

82729672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 82729672704 in words is "eighty-two billion, seven hundred twenty-nine million, six hundred seventy-two thousand, seven hundred four".