7491875328 has 400 divisors, whose sum is σ = 25881539904. Its totient is φ = 2113413120.

The previous prime is 7491875291. The next prime is 7491875357. The reversal of 7491875328 is 8235781947.

It is a happy number.

7491875328 is a `hidden beast` number, since 7 + 491 + 87 + 53 + 28 = 666.

It is a super-2 number, since 2×7491875328² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38029726 + ... + 38029922.

Almost surely, 2^7491875328 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 7491875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940769952).

7491875328 is an abundant number, since it is smaller than the sum of its proper divisors (18389664576).

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

7491875328 is a wasteful number, since it uses less digits than its factorization.

7491875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 340 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 7491875328 is about 86555.6198522083. The cubic root of 7491875328 is about 1956.7267426327.

The spelling of 7491875328 in words is "seven billion, four hundred ninety-one million, eight hundred seventy-five thousand, three hundred twenty-eight".