6756286464 has 180 divisors, whose sum is σ = 20252365224. Its totient is φ = 2250768384.

The previous prime is 6756286451. The next prime is 6756286477. The reversal of 6756286464 is 4646826576.

6756286464 is a `hidden beast` number, since 6 + 7 + 5 + 628 + 6 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6756286451) and next prime (6756286477).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6756286464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3980464 + ... + 3982160.

Almost surely, 2^6756286464 is an apocalyptic number.

6756286464 is a gapful number since it is divisible by the number (64) 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 6756286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126182612).

6756286464 is an abundant number, since it is smaller than the sum of its proper divisors (13496078760).

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

6756286464 is an frugal number, since it uses more digits than its factorization.

6756286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1702 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 6756286464 is about 82196.6329237396. The cubic root of 6756286464 is about 1890.4680926756.

The spelling of 6756286464 in words is "six billion, seven hundred fifty-six million, two hundred eighty-six thousand, four hundred sixty-four".