5792532480 has 768 divisors, whose sum is σ = 24436339200. Its totient is φ = 1274019840.

The previous prime is 5792532469. The next prime is 5792532511. The reversal of 5792532480 is 842352975.

5792532480 is a `hidden beast` number, since 5 + 79 + 2 + 532 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

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, 79349724 + ... + 79349796.

It is an arithmetic number, because the mean of its divisors is an integer number (31818150).

Almost surely, 2^5792532480 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 5792532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12218169600).

5792532480 is an abundant number, since it is smaller than the sum of its proper divisors (18643806720).

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

5792532480 is a wasteful number, since it uses less digits than its factorization.

5792532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5792532480 is about 76108.6885972949. The cubic root of 5792532480 is about 1795.9303614019.

The spelling of 5792532480 in words is "five billion, seven hundred ninety-two million, five hundred thirty-two thousand, four hundred eighty".