6942013974720 has 1008 divisors, whose sum is σ = 26607304249344. Its totient is φ = 1659900211200.

The previous prime is 6942013974683. The next prime is 6942013974761. The reversal of 6942013974720 is 274793102496.

6942013974720 is a `hidden beast` number, since 6 + 9 + 4 + 201 + 397 + 47 + 2 + 0 = 666.

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, 10046329575 + ... + 10046330265.

It is an arithmetic number, because the mean of its divisors is an integer number (26396135168).

Almost surely, 2^{6942013974720} is an apocalyptic number.

6942013974720 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 6942013974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13303652124672).

6942013974720 is an abundant number, since it is smaller than the sum of its proper divisors (19665290274624).

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

6942013974720 is a wasteful number, since it uses less digits than its factorization.

6942013974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 6942013974720 in words is "six trillion, nine hundred forty-two billion, thirteen million, nine hundred seventy-four thousand, seven hundred twenty".