82947607680 has 1024 divisors, whose sum is σ = 338411520000. Its totient is φ = 17196318720.

The previous prime is 82947607669. The next prime is 82947607693. The reversal of 82947607680 is 8670674928.

It is a self number, because there is not a number n which added to its sum of digits gives 82947607680.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 347061001 + ... + 347061239.

It is an arithmetic number, because the mean of its divisors is an integer number (330480000).

Almost surely, 2^82947607680 is an apocalyptic number.

82947607680 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 82947607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169205760000).

82947607680 is an abundant number, since it is smaller than the sum of its proper divisors (255463912320).

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

82947607680 is a wasteful number, since it uses less digits than its factorization.

82947607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 82947607680 in words is "eighty-two billion, nine hundred forty-seven million, six hundred seven thousand, six hundred eighty".