7534240000 has 405 divisors, whose sum is σ = 22588949691. Its totient is φ = 2499840000.

The previous prime is 7534239949. The next prime is 7534240001. The reversal of 7534240000 is 424357.

The square root of 7534240000 is 86800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 590684416 + 6943555584 = 24304^2 + 83328^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7534240001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 243039985 + ... + 243040015.

Almost surely, 2^7534240000 is an apocalyptic number.

7534240000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7534240000 is the 86800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7534240000

7534240000 is an abundant number, since it is smaller than the sum of its proper divisors (15054709691).

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

7534240000 is an frugal number, since it uses more digits than its factorization.

7534240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The cubic root of 7534240000 is about 1960.4080782962.

Multiplying 7534240000 by its sum of digits (25), we get a square (188356000000 = 434000²).

7534240000 divided by its sum of digits (25) gives a square (301369600 = 17360²).

Adding to 7534240000 its reverse (424357), we get a palindrome (7534664357).

The spelling of 7534240000 in words is "seven billion, five hundred thirty-four million, two hundred forty thousand".