6752171664 has 400 divisors, whose sum is σ = 24083220480. Its totient is φ = 1783192320.

The previous prime is 6752171623. The next prime is 6752171681. The reversal of 6752171664 is 4661712576.

6752171664 is a `hidden beast` number, since 67 + 521 + 7 + 1 + 6 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7411369 + ... + 7412279.

Almost surely, 2^6752171664 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 6752171664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12041610240).

6752171664 is an abundant number, since it is smaller than the sum of its proper divisors (17331048816).

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

6752171664 is a wasteful number, since it uses less digits than its factorization.

6752171664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 985 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 6752171664 is about 82171.5988891539. The cubic root of 6752171664 is about 1890.0842290505.

The spelling of 6752171664 in words is "six billion, seven hundred fifty-two million, one hundred seventy-one thousand, six hundred sixty-four".