5306496624 has 600 divisors, whose sum is σ = 19276839120. Its totient is φ = 1395947520.

The previous prime is 5306496617. The next prime is 5306496659. The reversal of 5306496624 is 4266946035.

5306496624 is a `hidden beast` number, since 530 + 6 + 4 + 96 + 6 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5306496624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38733484 + ... + 38733620.

Almost surely, 2^5306496624 is an apocalyptic number.

5306496624 is a gapful number since it is divisible by the number (54) 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 5306496624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638419560).

5306496624 is an abundant number, since it is smaller than the sum of its proper divisors (13970342496).

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

5306496624 is a wasteful number, since it uses less digits than its factorization.

5306496624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 5306496624 is about 72845.7042247516. The cubic root of 5306496624 is about 1744.2254972429.

The spelling of 5306496624 in words is "five billion, three hundred six million, four hundred ninety-six thousand, six hundred twenty-four".