6972726680640 has 1008 divisors, whose sum is σ = 28666266824832. Its totient is φ = 1580326060032.

The previous prime is 6972726680629. The next prime is 6972726680663. The reversal of 6972726680640 is 460866272796.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12084448032 + ... + 12084448608.

Almost surely, 2^{6972726680640} is an apocalyptic number.

6972726680640 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 6972726680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333133412416).

6972726680640 is an abundant number, since it is smaller than the sum of its proper divisors (21693540144192).

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

6972726680640 is an equidigital number, since it uses as much as digits as its factorization.

6972726680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 6972726680640 in words is "six trillion, nine hundred seventy-two billion, seven hundred twenty-six million, six hundred eighty thousand, six hundred forty".