7531993728 has 192 divisors, whose sum is σ = 24918192000. Its totient is φ = 2139162624.

The previous prime is 7531993723. The next prime is 7531993757. The reversal of 7531993728 is 8273991357.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (7531993723) 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, 1392373 + ... + 1397771.

It is an arithmetic number, because the mean of its divisors is an integer number (129782250).

Almost surely, 2^7531993728 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 7531993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12459096000).

7531993728 is an abundant number, since it is smaller than the sum of its proper divisors (17386198272).

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

7531993728 is a wasteful number, since it uses less digits than its factorization.

7531993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5584 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 7531993728 is about 86787.0596805768. The cubic root of 7531993728 is about 1960.2132323891.

The spelling of 7531993728 in words is "seven billion, five hundred thirty-one million, nine hundred ninety-three thousand, seven hundred twenty-eight".