6972399720 has 768 divisors, whose sum is σ = 29210388480. Its totient is φ = 1415577600.

The previous prime is 6972399719. The next prime is 6972399727. The reversal of 6972399720 is 279932796.

It is a super-2 number, since 2×6972399720² = 97228715710912156800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6972399727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27129832 + ... + 27130088.

It is an arithmetic number, because the mean of its divisors is an integer number (38034360).

Almost surely, 2^6972399720 is an apocalyptic number.

6972399720 is a gapful number since it is divisible by the number (60) 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 6972399720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605194240).

6972399720 is an abundant number, since it is smaller than the sum of its proper divisors (22237988760).

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

6972399720 is a wasteful number, since it uses less digits than its factorization.

6972399720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 6972399720 is about 83500.8965221332. The cubic root of 6972399720 is about 1910.4137075206.

The spelling of 6972399720 in words is "six billion, nine hundred seventy-two million, three hundred ninety-nine thousand, seven hundred twenty".