6972456960 has 540 divisors, whose sum is σ = 28262323908. Its totient is φ = 1585446912.

The previous prime is 6972456919. The next prime is 6972457043. The reversal of 6972456960 is 696542796.

6972456960 is a `hidden beast` number, since 6 + 9 + 72 + 4 + 569 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2088124416 + 4884332544 = 45696^2 + 69888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6972456897 and 6972456906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36126624 + ... + 36126816.

Almost surely, 2^6972456960 is an apocalyptic number.

6972456960 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 6972456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131161954).

6972456960 is an abundant number, since it is smaller than the sum of its proper divisors (21289866948).

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

6972456960 is a wasteful number, since it uses less digits than its factorization.

6972456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 6972456960 is about 83501.2392722407. The cubic root of 6972456960 is about 1910.4189353611.

The spelling of 6972456960 in words is "six billion, nine hundred seventy-two million, four hundred fifty-six thousand, nine hundred sixty".