82967624406 has 64 divisors (see below), whose sum is σ = 195379200000. Its totient is φ = 26024413536.

The previous prime is 82967624371. The next prime is 82967624417. The reversal of 82967624406 is 60442676928.

82967624406 is a `hidden beast` number, since 8 + 2 + 9 + 6 + 7 + 624 + 4 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118486 + ... + 424233.

It is an arithmetic number, because the mean of its divisors is an integer number (3052800000).

Almost surely, 2^82967624406 is an apocalyptic number.

82967624406 is an abundant number, since it is smaller than the sum of its proper divisors (112411575594).

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

82967624406 is a wasteful number, since it uses less digits than its factorization.

82967624406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542898 (or 542892 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 82967624406 in words is "eighty-two billion, nine hundred sixty-seven million, six hundred twenty-four thousand, four hundred six".