6972584004 has 45 divisors (see below), whose sum is σ = 18231641967. Its totient is φ = 2323693656.

The previous prime is 6972583993. The next prime is 6972584011. The reversal of 6972584004 is 4004852796.

It is a happy number.

The square root of 6972584004 is 83502.

It is a perfect power (a square), and thus also a powerful number.

6972584004 is a `hidden beast` number, since 69 + 7 + 2 + 584 + 0 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1500717 + ... + 1505355.

Almost surely, 2^6972584004 is an apocalyptic number.

6972584004 is the 83502-nd square number.

It is an amenable number.

6972584004 is an abundant number, since it is smaller than the sum of its proper divisors (11259057963).

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

6972584004 is an frugal number, since it uses more digits than its factorization.

6972584004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 6972584004 is about 1910.4305384345.

The spelling of 6972584004 in words is "six billion, nine hundred seventy-two million, five hundred eighty-four thousand, four".