6972042880 has 128 divisors (see below), whose sum is σ = 18228836160. Its totient is φ = 2528870400.

The previous prime is 6972042863. The next prime is 6972042893. The reversal of 6972042880 is 882402796.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 6972042880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3455632 + ... + 3457648.

Almost surely, 2^6972042880 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 6972042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114418080).

6972042880 is an abundant number, since it is smaller than the sum of its proper divisors (11256793280).

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

6972042880 is a wasteful number, since it uses less digits than its factorization.

6972042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 6972042880 is about 83498.7597512682. The cubic root of 6972042880 is about 1910.3811159842.

The spelling of 6972042880 in words is "six billion, nine hundred seventy-two million, forty-two thousand, eight hundred eighty".