6864120900 has 648 divisors, whose sum is σ = 27886652640. Its totient is φ = 1443536640.

The previous prime is 6864120881. The next prime is 6864120911. The reversal of 6864120900 is 90214686.

6864120900 is a `hidden beast` number, since 6 + 8 + 641 + 2 + 0 + 9 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22358547 + ... + 22358853.

Almost surely, 2^6864120900 is an apocalyptic number.

6864120900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6864120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13943326320).

6864120900 is an abundant number, since it is smaller than the sum of its proper divisors (21022531740).

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

6864120900 is a wasteful number, since it uses less digits than its factorization.

6864120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6864120900 is about 82849.9903439946. The cubic root of 6864120900 is about 1900.4727263263.

The spelling of 6864120900 in words is "six billion, eight hundred sixty-four million, one hundred twenty thousand, nine hundred".