6863732064 has 576 divisors, whose sum is σ = 25096780800. Its totient is φ = 1734856704.

The previous prime is 6863732053. The next prime is 6863732089. The reversal of 6863732064 is 4602373686.

6863732064 is a `hidden beast` number, since 6 + 8 + 637 + 3 + 2 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×6863732064² = 94221635692763400192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41100109 + ... + 41100275.

It is an arithmetic number, because the mean of its divisors is an integer number (43570800).

Almost surely, 2^6863732064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6863732064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548390400).

6863732064 is an abundant number, since it is smaller than the sum of its proper divisors (18233048736).

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

6863732064 is a wasteful number, since it uses less digits than its factorization.

6863732064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6863732064 is about 82847.6436840542. The cubic root of 6863732064 is about 1900.4368399068.

The spelling of 6863732064 in words is "six billion, eight hundred sixty-three million, seven hundred thirty-two thousand, sixty-four".