6972240440 has 64 divisors (see below), whose sum is σ = 17228700000. Its totient is φ = 2518320640.

The previous prime is 6972240433. The next prime is 6972240479. The reversal of 6972240440 is 440422796.

It is a super-2 number, since 2×6972240440² = 97224273506342787200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6972240394 and 6972240403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12386 + ... + 118734.

Almost surely, 2^6972240440 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 6972240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614350000).

6972240440 is an abundant number, since it is smaller than the sum of its proper divisors (10256459560).

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

6972240440 is a wasteful number, since it uses less digits than its factorization.

6972240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106520 (or 106516 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 6972240440 is about 83499.9427544714. The cubic root of 6972240440 is about 1910.3991600178.

The spelling of 6972240440 in words is "six billion, nine hundred seventy-two million, two hundred forty thousand, four hundred forty".