82472612040 has 1152 divisors, whose sum is σ = 363029022720. Its totient is φ = 15792537600.

The previous prime is 82472612021. The next prime is 82472612059. The reversal of 82472612040 is 4021627428.

It is an interprime number because it is at equal distance from previous prime (82472612021) and next prime (82472612059).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82472611986 and 82472612004.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 293496700 + ... + 293496980.

It is an arithmetic number, because the mean of its divisors is an integer number (315129360).

Almost surely, 2^82472612040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82472612040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181514511360).

82472612040 is an abundant number, since it is smaller than the sum of its proper divisors (280556410680).

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

82472612040 is a wasteful number, since it uses less digits than its factorization.

82472612040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 82472612040 in words is "eighty-two billion, four hundred seventy-two million, six hundred twelve thousand, forty".