6753402432 has 224 divisors, whose sum is σ = 23077017600. Its totient is φ = 1896638976.

The previous prime is 6753402413. The next prime is 6753402433. The reversal of 6753402432 is 2342043576.

6753402432 is a `hidden beast` number, since 6 + 75 + 340 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (6753402433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708933 + ... + 718395.

It is an arithmetic number, because the mean of its divisors is an integer number (103022400).

Almost surely, 2^6753402432 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 6753402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11538508800).

6753402432 is an abundant number, since it is smaller than the sum of its proper divisors (16323615168).

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

6753402432 is a wasteful number, since it uses less digits than its factorization.

6753402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 6753402432 is about 82179.0875588188. The cubic root of 6753402432 is about 1890.1990619257.

The spelling of 6753402432 in words is "six billion, seven hundred fifty-three million, four hundred two thousand, four hundred thirty-two".