6752032704 has 84 divisors (see below), whose sum is σ = 19571086080. Its totient is φ = 2225372160.

The previous prime is 6752032633. The next prime is 6752032723. The reversal of 6752032704 is 4072302576.

It is a happy number.

6752032704 is a `hidden beast` number, since 67 + 520 + 3 + 2 + 70 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 14592 + ... + 117119.

It is an arithmetic number, because the mean of its divisors is an integer number (232989120).

Almost surely, 2^6752032704 is an apocalyptic number.

6752032704 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 6752032704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785543040).

6752032704 is an abundant number, since it is smaller than the sum of its proper divisors (12819053376).

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

6752032704 is a wasteful number, since it uses less digits than its factorization.

6752032704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131818 (or 131805 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 6752032704 is about 82170.7533371820. The cubic root of 6752032704 is about 1890.0712629550.

The spelling of 6752032704 in words is "six billion, seven hundred fifty-two million, thirty-two thousand, seven hundred four".