6864504233400 has 576 divisors, whose sum is σ = 26737719390720. Its totient is φ = 1561730227200.

The previous prime is 6864504233387. The next prime is 6864504233437. The reversal of 6864504233400 is 43324054686.

6864504233400 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 5 + 0 + 4 + 233 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23993997 + ... + 24278403.

It is an arithmetic number, because the mean of its divisors is an integer number (46419651720).

Almost surely, 2^{6864504233400} is an apocalyptic number.

6864504233400 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 6864504233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368859695360).

6864504233400 is an abundant number, since it is smaller than the sum of its proper divisors (19873215157320).

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

6864504233400 is a wasteful number, since it uses less digits than its factorization.

6864504233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284516 (or 284504 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 6864504233400 in words is "six trillion, eight hundred sixty-four billion, five hundred four million, two hundred thirty-three thousand, four hundred".