206964008400 has 60 divisors (see below), whose sum is σ = 662974710752. Its totient is φ = 55190401920.

The previous prime is 206964008389. The next prime is 206964008443. The reversal of 206964008400 is 4800469602.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86233804 + ... + 86236203.

Almost surely, 2^206964008400 is an apocalyptic number.

206964008400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206964008400 is an abundant number, since it is smaller than the sum of its proper divisors (456010702352).

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

206964008400 is a wasteful number, since it uses less digits than its factorization.

206964008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172470028 (or 172470017 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 206964008400 in words is "two hundred six billion, nine hundred sixty-four million, eight thousand, four hundred".