6972540960 has 384 divisors, whose sum is σ = 28827187200. Its totient is φ = 1372446720.

The previous prime is 6972540931. The next prime is 6972540977. The reversal of 6972540960 is 690452796.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 697276 + ... + 707204.

It is an arithmetic number, because the mean of its divisors is an integer number (75070800).

Almost surely, 2^6972540960 is an apocalyptic number.

6972540960 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 6972540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14413593600).

6972540960 is an abundant number, since it is smaller than the sum of its proper divisors (21854646240).

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

6972540960 is a wasteful number, since it uses less digits than its factorization.

6972540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 6972540960 is about 83501.7422572727. The cubic root of 6972540960 is about 1910.4266071926.

It can be divided in two parts, 69725 and 40960, that added together give a triangular number (110685 = T₄₇₀).

The spelling of 6972540960 in words is "six billion, nine hundred seventy-two million, five hundred forty thousand, nine hundred sixty".