7495633152 has 432 divisors, whose sum is σ = 26491221120. Its totient is φ = 1990656000.

The previous prime is 7495633147. The next prime is 7495633163. The reversal of 7495633152 is 2513365947.

7495633152 is a `hidden beast` number, since 7 + 4 + 9 + 5 + 633 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×7495633152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7495633098 and 7495633107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18692152 + ... + 18692552.

Almost surely, 2^7495633152 is an apocalyptic number.

7495633152 is a gapful number since it is divisible by the number (72) 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 7495633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245610560).

7495633152 is an abundant number, since it is smaller than the sum of its proper divisors (18995587968).

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

7495633152 is a wasteful number, since it uses less digits than its factorization.

7495633152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 7495633152 is about 86577.3246987917. The cubic root of 7495633152 is about 1957.0538438964.

The spelling of 7495633152 in words is "seven billion, four hundred ninety-five million, six hundred thirty-three thousand, one hundred fifty-two".