5651346624 has 672 divisors, whose sum is σ = 20755660800. Its totient is φ = 1322956800.

The previous prime is 5651346577. The next prime is 5651346641. The reversal of 5651346624 is 4266431565.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 95785507 + ... + 95785565.

It is an arithmetic number, because the mean of its divisors is an integer number (30886400).

Almost surely, 2^5651346624 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 5651346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377830400).

5651346624 is an abundant number, since it is smaller than the sum of its proper divisors (15104314176).

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

5651346624 is a wasteful number, since it uses less digits than its factorization.

5651346624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 5651346624 is about 75175.4389677905. The cubic root of 5651346624 is about 1781.2189840681.

The spelling of 5651346624 in words is "five billion, six hundred fifty-one million, three hundred forty-six thousand, six hundred twenty-four".