6960744039600 has 1440 divisors, whose sum is σ = 28687733867520. Its totient is φ = 1607638855680.

The previous prime is 6960744039589. The next prime is 6960744039637. The reversal of 6960744039600 is 69304470696.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1540326141 + ... + 1540330659.

It is an arithmetic number, because the mean of its divisors is an integer number (19922037408).

Almost surely, 2^{6960744039600} is an apocalyptic number.

6960744039600 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 6960744039600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343866933760).

6960744039600 is an abundant number, since it is smaller than the sum of its proper divisors (21726989827920).

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

6960744039600 is a wasteful number, since it uses less digits than its factorization.

6960744039600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 6960744039600 in words is "six trillion, nine hundred sixty billion, seven hundred forty-four million, thirty-nine thousand, six hundred".