82976919028640 has 1152 divisors, whose sum is σ = 258144670973952. Its totient is φ = 24627214909440.

The previous prime is 82976919028631. The next prime is 82976919028657. The reversal of 82976919028640 is 4682091967928.

It is a super-2 number, since 2×82976919028640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60700013237 + ... + 60700014603.

It is an arithmetic number, because the mean of its divisors is an integer number (224083915776).

Almost surely, 2^{82976919028640} is an apocalyptic number.

82976919028640 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 82976919028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129072335486976).

82976919028640 is an abundant number, since it is smaller than the sum of its proper divisors (175167751945312).

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

82976919028640 is a wasteful number, since it uses less digits than its factorization.

82976919028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 71.

The spelling of 82976919028640 in words is "eighty-two trillion, nine hundred seventy-six billion, nine hundred nineteen million, twenty-eight thousand, six hundred forty".