5456976624 has 240 divisors, whose sum is σ = 18105984000. Its totient is φ = 1515801600.

The previous prime is 5456976617. The next prime is 5456976667. The reversal of 5456976624 is 4266796545.

5456976624 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 9 + 7 + 6 + 624 = 666.

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, 930052 + ... + 935900.

It is an arithmetic number, because the mean of its divisors is an integer number (75441600).

Almost surely, 2^5456976624 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 5456976624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9052992000).

5456976624 is an abundant number, since it is smaller than the sum of its proper divisors (12649007376).

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

5456976624 is a wasteful number, since it uses less digits than its factorization.

5456976624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5915 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 5456976624 is about 73871.3518490084. The cubic root of 5456976624 is about 1760.5594622929.

The spelling of 5456976624 in words is "five billion, four hundred fifty-six million, nine hundred seventy-six thousand, six hundred twenty-four".