6972954880 has 144 divisors (see below), whose sum is σ = 17748828720. Its totient is φ = 2619703296.

The previous prime is 6972954869. The next prime is 6972954881. The reversal of 6972954880 is 884592796.

It can be written as a sum of positive squares in 8 ways, for example, as 1470875904 + 5502078976 = 38352^2 + 74176^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (6972954881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1370902 + ... + 1375978.

It is an arithmetic number, because the mean of its divisors is an integer number (123255755).

Almost surely, 2^6972954880 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 6972954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874414360).

6972954880 is an abundant number, since it is smaller than the sum of its proper divisors (10775873840).

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

6972954880 is a wasteful number, since it uses less digits than its factorization.

6972954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The square root of 6972954880 is about 83504.2207316492. The cubic root of 6972954880 is about 1910.4644101561.

It can be divided in two parts, 69729 and 54880, that added together give a square (124609 = 353²).

The spelling of 6972954880 in words is "six billion, nine hundred seventy-two million, nine hundred fifty-four thousand, eight hundred eighty".