7657534242 has 48 divisors (see below), whose sum is σ = 17509752000. Its totient is φ = 2411910432.

The previous prime is 7657534231. The next prime is 7657534249. The reversal of 7657534242 is 2424357567.

7657534242 is a `hidden beast` number, since 7 + 6 + 575 + 34 + 2 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (7657534249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104259 + ... + 161817.

It is an arithmetic number, because the mean of its divisors is an integer number (364786500).

Almost surely, 2^7657534242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7657534242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8754876000).

7657534242 is an abundant number, since it is smaller than the sum of its proper divisors (9852217758).

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

7657534242 is a wasteful number, since it uses less digits than its factorization.

7657534242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57975 (or 57972 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 7657534242 is about 87507.3382180032. The cubic root of 7657534242 is about 1971.0439846024.

The spelling of 7657534242 in words is "seven billion, six hundred fifty-seven million, five hundred thirty-four thousand, two hundred forty-two".