5207773824 has 384 divisors, whose sum is σ = 17536296960. Its totient is φ = 1524096000.

The previous prime is 5207773763. The next prime is 5207773841. The reversal of 5207773824 is 4283777025.

5207773824 is a `hidden beast` number, since 520 + 7 + 77 + 38 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5207773824.

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, 10606219 + ... + 10606709.

It is an arithmetic number, because the mean of its divisors is an integer number (45667440).

Almost surely, 2^5207773824 is an apocalyptic number.

5207773824 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 5207773824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768148480).

5207773824 is an abundant number, since it is smaller than the sum of its proper divisors (12328523136).

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

5207773824 is a wasteful number, since it uses less digits than its factorization.

5207773824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 5207773824 is about 72164.9071502209. The cubic root of 5207773824 is about 1733.3411129171.

The spelling of 5207773824 in words is "five billion, two hundred seven million, seven hundred seventy-three thousand, eight hundred twenty-four".