5972750784 has 560 divisors, whose sum is σ = 23792541696. Its totient is φ = 1430784000.

The previous prime is 5972750779. The next prime is 5972750803. The reversal of 5972750784 is 4870572795.

It is a happy number.

5972750784 is a `hidden beast` number, since 59 + 7 + 2 + 7 + 507 + 84 = 666.

It is a super-2 number, since 2×5972750784² = 71347503855545229312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5972750784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5188609 + ... + 5189759.

Almost surely, 2^5972750784 is an apocalyptic number.

5972750784 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 5972750784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896270848).

5972750784 is an abundant number, since it is smaller than the sum of its proper divisors (17819790912).

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

5972750784 is a wasteful number, since it uses less digits than its factorization.

5972750784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The square root of 5972750784 is about 77283.5738304072. The cubic root of 5972750784 is about 1814.3655784181.

The spelling of 5972750784 in words is "five billion, nine hundred seventy-two million, seven hundred fifty thousand, seven hundred eighty-four".