6879496400 has 60 divisors (see below), whose sum is σ = 18889139232. Its totient is φ = 2358683520.

The previous prime is 6879496399. The next prime is 6879496411. The reversal of 6879496400 is 46949786.

It is a happy number.

It is a super-2 number, since 2×6879496400² = 94654941435225920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1225682 + ... + 1231281.

Almost surely, 2^6879496400 is an apocalyptic number.

It is an amenable number.

6879496400 is an abundant number, since it is smaller than the sum of its proper divisors (12009642832).

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

6879496400 is a wasteful number, since it uses less digits than its factorization.

6879496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456988 (or 2456977 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 6879496400 is about 82942.7296391914. The cubic root of 6879496400 is about 1901.8906756889.

The spelling of 6879496400 in words is "six billion, eight hundred seventy-nine million, four hundred ninety-six thousand, four hundred".