82900460679840 has 288 divisors, whose sum is σ = 284152676947776. Its totient is φ = 22008809472000.

The previous prime is 82900460679809. The next prime is 82900460679877. The reversal of 82900460679840 is 4897606400928.

82900460679840 is a `hidden beast` number, since 8 + 2 + 90 + 0 + 460 + 6 + 7 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821502667 + ... + 821603573.

It is an arithmetic number, because the mean of its divisors is an integer number (986641239402).

Almost surely, 2^{82900460679840} is an apocalyptic number.

82900460679840 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 82900460679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142076338473888).

82900460679840 is an abundant number, since it is smaller than the sum of its proper divisors (201252216267936).

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

82900460679840 is a wasteful number, since it uses less digits than its factorization.

82900460679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103452 (or 103441 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 82900460679840 in words is "eighty-two trillion, nine hundred billion, four hundred sixty million, six hundred seventy-nine thousand, eight hundred forty".