7475315328 has 192 divisors, whose sum is σ = 23231917800. Its totient is φ = 2293530624.

The previous prime is 7475315317. The next prime is 7475315339. The reversal of 7475315328 is 8235135747.

7475315328 is a `hidden beast` number, since 7 + 4 + 7 + 5 + 315 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (7475315317) and next prime (7475315339).

It can be written as a sum of positive squares in 4 ways, for example, as 4525521984 + 2949793344 = 67272^2 + 54312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9239788 + ... + 9240596.

Almost surely, 2^7475315328 is an apocalyptic number.

7475315328 is a gapful number since it is divisible by the number (78) 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 7475315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615958900).

7475315328 is an abundant number, since it is smaller than the sum of its proper divisors (15756602472).

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

7475315328 is a wasteful number, since it uses less digits than its factorization.

7475315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 7475315328 is about 86459.9058986303. The cubic root of 7475315328 is about 1955.2839664001.

The spelling of 7475315328 in words is "seven billion, four hundred seventy-five million, three hundred fifteen thousand, three hundred twenty-eight".