5652402624 has 336 divisors, whose sum is σ = 18942015456. Its totient is φ = 1592524800.

The previous prime is 5652402593. The next prime is 5652402677. The reversal of 5652402624 is 4262042565.

5652402624 is a `hidden beast` number, since 5 + 6 + 5 + 24 + 0 + 2 + 624 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10447794 + ... + 10448334.

It is an arithmetic number, because the mean of its divisors is an integer number (56375046).

Almost surely, 2^5652402624 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 5652402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471007728).

5652402624 is an abundant number, since it is smaller than the sum of its proper divisors (13289612832).

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

5652402624 is a wasteful number, since it uses less digits than its factorization.

5652402624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5652402624 is about 75182.4622102788. The cubic root of 5652402624 is about 1781.3299222348.

The spelling of 5652402624 in words is "five billion, six hundred fifty-two million, four hundred two thousand, six hundred twenty-four".