82620772416 has 560 divisors, whose sum is σ = 308518218624. Its totient is φ = 21278121984.

The previous prime is 82620772393. The next prime is 82620772453. The reversal of 82620772416 is 61427702628.

It is a happy number.

82620772416 is a `hidden beast` number, since 8 + 2 + 620 + 7 + 7 + 2 + 4 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20282956 + ... + 20287028.

Almost surely, 2^82620772416 is an apocalyptic number.

82620772416 is a gapful number since it is divisible by the number (86) 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 82620772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154259109312).

82620772416 is an abundant number, since it is smaller than the sum of its proper divisors (225897446208).

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

82620772416 is a wasteful number, since it uses less digits than its factorization.

82620772416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 82620772416 in words is "eighty-two billion, six hundred twenty million, seven hundred seventy-two thousand, four hundred sixteen".