5274816624 has 360 divisors, whose sum is σ = 18931276416. Its totient is φ = 1331942400.

The previous prime is 5274816611. The next prime is 5274816647. The reversal of 5274816624 is 4266184725.

5274816624 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 8 + 16 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5274816624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18638787 + ... + 18639069.

Almost surely, 2^5274816624 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 5274816624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465638208).

5274816624 is an abundant number, since it is smaller than the sum of its proper divisors (13656459792).

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

5274816624 is a wasteful number, since it uses less digits than its factorization.

5274816624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 347 counting only the distinct ones).

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

The square root of 5274816624 is about 72627.9328082522. The cubic root of 5274816624 is about 1740.7475345274.

The spelling of 5274816624 in words is "five billion, two hundred seventy-four million, eight hundred sixteen thousand, six hundred twenty-four".