5421624768 has 672 divisors, whose sum is σ = 20769315840. Its totient is φ = 1313832960.

The previous prime is 5421624757. The next prime is 5421624779. The reversal of 5421624768 is 8674261245.

5421624768 is a `hidden beast` number, since 542 + 1 + 6 + 2 + 47 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (5421624757) and next prime (5421624779).

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 (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (645120) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29953638 + ... + 29953818.

It is an arithmetic number, because the mean of its divisors is an integer number (30906720).

Almost surely, 2^5421624768 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 5421624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384657920).

5421624768 is an abundant number, since it is smaller than the sum of its proper divisors (15347691072).

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

5421624768 is a wasteful number, since it uses less digits than its factorization.

5421624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5421624768 is about 73631.6831805440. The cubic root of 5421624768 is about 1756.7494202444.

The spelling of 5421624768 in words is "five billion, four hundred twenty-one million, six hundred twenty-four thousand, seven hundred sixty-eight".