5972992704 has 448 divisors, whose sum is σ = 21957304320. Its totient is φ = 1552711680.

The previous prime is 5972992699. The next prime is 5972992717. The reversal of 5972992704 is 4072992795.

5972992704 is a `hidden beast` number, since 597 + 29 + 9 + 27 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6374124 + ... + 6375060.

It is an arithmetic number, because the mean of its divisors is an integer number (49011840).

Almost surely, 2^5972992704 is an apocalyptic number.

5972992704 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 5972992704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10978652160).

5972992704 is an abundant number, since it is smaller than the sum of its proper divisors (15984311616).

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

5972992704 is a wasteful number, since it uses less digits than its factorization.

5972992704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 5972992704 is about 77285.1389595697. The cubic root of 5972992704 is about 1814.3900744117.

It can be divided in two parts, 5972992 and 704, that added together give a triangular number (5973696 = T₃₄₅₆).

The spelling of 5972992704 in words is "five billion, nine hundred seventy-two million, nine hundred ninety-two thousand, seven hundred four".