82008038624 has 48 divisors (see below), whose sum is σ = 175120154496. Its totient is φ = 37650739200.

The previous prime is 82008038611. The next prime is 82008038639. The reversal of 82008038624 is 42683080028.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1816112 + ... + 1860719.

It is an arithmetic number, because the mean of its divisors is an integer number (3648336552).

Almost surely, 2^82008038624 is an apocalyptic number.

It is an amenable number.

82008038624 is an abundant number, since it is smaller than the sum of its proper divisors (93112115872).

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

82008038624 is a wasteful number, since it uses less digits than its factorization.

82008038624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676899 (or 3676891 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 82008038624 in words is "eighty-two billion, eight million, thirty-eight thousand, six hundred twenty-four".