7242957568 has 144 divisors (see below), whose sum is σ = 18195851520. Its totient is φ = 2795212800.

The previous prime is 7242957523. The next prime is 7242957571. The reversal of 7242957568 is 8657592427.

It is a super-4 number, since 4×7242957568⁴ (a number of 41 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146923 + ... + 2150293.

It is an arithmetic number, because the mean of its divisors is an integer number (126360080).

Almost surely, 2^7242957568 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 7242957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097925760).

7242957568 is an abundant number, since it is smaller than the sum of its proper divisors (10952893952).

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

7242957568 is a wasteful number, since it uses less digits than its factorization.

7242957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3500 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 55.

The square root of 7242957568 is about 85105.5671974519. The cubic root of 7242957568 is about 1934.8114417638.

The spelling of 7242957568 in words is "seven billion, two hundred forty-two million, nine hundred fifty-seven thousand, five hundred sixty-eight".