6863560704000 has 4352 divisors, whose sum is σ = 35175513784320. Its totient is φ = 1274019840000.

The previous prime is 6863560703999. The next prime is 6863560704019. The reversal of 6863560704000 is 4070653686.

6863560704000 is a `hidden beast` number, since 6 + 8 + 6 + 35 + 607 + 0 + 4 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 221405183985 + ... + 221405184015.

Almost surely, 2^{6863560704000} is an apocalyptic number.

6863560704000 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 6863560704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587756892160).

6863560704000 is an abundant number, since it is smaller than the sum of its proper divisors (28311953080320).

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

6863560704000 is a wasteful number, since it uses less digits than its factorization.

6863560704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6863560704000 in words is "six trillion, eight hundred sixty-three billion, five hundred sixty million, seven hundred four thousand".