5824465920 has 704 divisors, whose sum is σ = 25530839040. Its totient is φ = 1226244096.

The previous prime is 5824465877. The next prime is 5824465957. The reversal of 5824465920 is 295644285.

5824465920 is a `hidden beast` number, since 58 + 2 + 4 + 4 + 6 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12579609 + ... + 12580071.

Almost surely, 2^5824465920 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 5824465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765419520).

5824465920 is an abundant number, since it is smaller than the sum of its proper divisors (19706373120).

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

5824465920 is a wasteful number, since it uses less digits than its factorization.

5824465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5824465920 is about 76318.1886577505. The cubic root of 5824465920 is about 1799.2245548729.

The spelling of 5824465920 in words is "five billion, eight hundred twenty-four million, four hundred sixty-five thousand, nine hundred twenty".