7942197961728 has 660 divisors, whose sum is σ = 25171140846852. Its totient is φ = 2492867543040.

The previous prime is 7942197961693. The next prime is 7942197961739. The reversal of 7942197961728 is 8271697912497.

7942197961728 is a `hidden beast` number, since 7 + 9 + 421 + 9 + 79 + 61 + 72 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1488321921024 + 6453876040704 = 1219968^2 + 2540448^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2859990676 + ... + 2859993452.

Almost surely, 2^{7942197961728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7942197961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585570423426).

7942197961728 is an abundant number, since it is smaller than the sum of its proper divisors (17228942885124).

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

7942197961728 is a wasteful number, since it uses less digits than its factorization.

7942197961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2852 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 72.

The spelling of 7942197961728 in words is "seven trillion, nine hundred forty-two billion, one hundred ninety-seven million, nine hundred sixty-one thousand, seven hundred twenty-eight".