6972707720160 has 1920 divisors, whose sum is σ = 31155583979520. Its totient is φ = 1429581643776.

The previous prime is 6972707720141. The next prime is 6972707720177. The reversal of 6972707720160 is 610277072796.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6972707720097 and 6972707720106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6242351922 + ... + 6242353038.

It is an arithmetic number, because the mean of its divisors is an integer number (16226866656).

Almost surely, 2^{6972707720160} is an apocalyptic number.

6972707720160 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 6972707720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577791989760).

6972707720160 is an abundant number, since it is smaller than the sum of its proper divisors (24182876259360).

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

6972707720160 is a wasteful number, since it uses less digits than its factorization.

6972707720160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 6972707720160 in words is "six trillion, nine hundred seventy-two billion, seven hundred seven million, seven hundred twenty thousand, one hundred sixty".