6972288960 has 224 divisors, whose sum is σ = 27245901312. Its totient is φ = 1471057920.

The previous prime is 6972288941. The next prime is 6972288979. The reversal of 6972288960 is 698822796.

It is an interprime number because it is at equal distance from previous prime (6972288941) and next prime (6972288979).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6972288960² = 97225626683475763200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6972288960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47455 + ... + 127265.

It is an arithmetic number, because the mean of its divisors is an integer number (121633488).

Almost surely, 2^6972288960 is an apocalyptic number.

6972288960 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 6972288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622950656).

6972288960 is an abundant number, since it is smaller than the sum of its proper divisors (20273612352).

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

6972288960 is a wasteful number, since it uses less digits than its factorization.

6972288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79851 (or 79841 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 6972288960 is about 83500.2332930873. The cubic root of 6972288960 is about 1910.4035915131.

The spelling of 6972288960 in words is "six billion, nine hundred seventy-two million, two hundred eighty-eight thousand, nine hundred sixty".