7542254720 has 512 divisors, whose sum is σ = 24733416960. Its totient is φ = 2123366400.

The previous prime is 7542254719. The next prime is 7542254743. The reversal of 7542254720 is 274522457.

It is a happy number.

It is a super-2 number, since 2×7542254720² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39078944 + ... + 39079136.

It is an arithmetic number, because the mean of its divisors is an integer number (48307455).

Almost surely, 2^7542254720 is an apocalyptic number.

7542254720 is a gapful number since it is divisible by the number (70) 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 7542254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366708480).

7542254720 is an abundant number, since it is smaller than the sum of its proper divisors (17191162240).

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

7542254720 is a wasteful number, since it uses less digits than its factorization.

7542254720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 38.

The square root of 7542254720 is about 86846.1554704640. The cubic root of 7542254720 is about 1961.1029749169.

It can be divided in two parts, 7542 and 254720, that added together give a palindrome (262262).

The spelling of 7542254720 in words is "seven billion, five hundred forty-two million, two hundred fifty-four thousand, seven hundred twenty".