7712147674242 has 320 divisors, whose sum is σ = 19976947056000. Its totient is φ = 2202778488960.

The previous prime is 7712147674201. The next prime is 7712147674277. The reversal of 7712147674242 is 2424767412177.

7712147674242 is a `hidden beast` number, since 7 + 7 + 12 + 147 + 67 + 424 + 2 = 666.

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 159 ways as a sum of consecutive naturals, for example, 4108761808 + ... + 4108763684.

It is an arithmetic number, because the mean of its divisors is an integer number (62427959550).

Almost surely, 2^{7712147674242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7712147674242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9988473528000).

7712147674242 is an abundant number, since it is smaller than the sum of its proper divisors (12264799381758).

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

7712147674242 is a wasteful number, since it uses less digits than its factorization.

7712147674242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 1965 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 54.

The spelling of 7712147674242 in words is "seven trillion, seven hundred twelve billion, one hundred forty-seven million, six hundred seventy-four thousand, two hundred forty-two".