6972140344320 has 1320 divisors, whose sum is σ = 26148726759672. Its totient is φ = 1775983656960.

The previous prime is 6972140344283. The next prime is 6972140344339. The reversal of 6972140344320 is 234430412796.

6972140344320 is a `hidden beast` number, since 6 + 9 + 72 + 140 + 3 + 4 + 432 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4612254483456 + 2359885860864 = 2147616^2 + 1536192^2 .

It is a super-2 number, since 2×6972140344320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50891535292 + ... + 50891535428.

Almost surely, 2^{6972140344320} is an apocalyptic number.

6972140344320 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 6972140344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074363379836).

6972140344320 is an abundant number, since it is smaller than the sum of its proper divisors (19176586415352).

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

6972140344320 is a wasteful number, since it uses less digits than its factorization.

6972140344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 6972140344320 in words is "six trillion, nine hundred seventy-two billion, one hundred forty million, three hundred forty-four thousand, three hundred twenty".