5303418624 has 432 divisors, whose sum is σ = 19106330880. Its totient is φ = 1433272320.

The previous prime is 5303418619. The next prime is 5303418647. The reversal of 5303418624 is 4268143035.

5303418624 is a `hidden beast` number, since 530 + 3 + 41 + 86 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8273344 + ... + 8273984.

Almost surely, 2^5303418624 is an apocalyptic number.

5303418624 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 5303418624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553165440).

5303418624 is an abundant number, since it is smaller than the sum of its proper divisors (13802912256).

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

5303418624 is an equidigital number, since it uses as much as digits as its factorization.

5303418624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5303418624 is about 72824.5743138949. The cubic root of 5303418624 is about 1743.8881896727. Note that the first 3 decimals are identical.

The spelling of 5303418624 in words is "five billion, three hundred three million, four hundred eighteen thousand, six hundred twenty-four".