7675813152 has 384 divisors, whose sum is σ = 26611200000. Its totient is φ = 2151007488.

The previous prime is 7675813091. The next prime is 7675813199. The reversal of 7675813152 is 2513185767.

It is a happy number.

7675813152 is a `hidden beast` number, since 7 + 67 + 581 + 3 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7675813098 and 7675813107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17484549 + ... + 17484987.

It is an arithmetic number, because the mean of its divisors is an integer number (69300000).

Almost surely, 2^7675813152 is an apocalyptic number.

7675813152 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 7675813152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600000).

7675813152 is an abundant number, since it is smaller than the sum of its proper divisors (18935386848).

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

7675813152 is a wasteful number, since it uses less digits than its factorization.

7675813152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 510 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 7675813152 is about 87611.7181203519. The cubic root of 7675813152 is about 1972.6110646017.

The spelling of 7675813152 in words is "seven billion, six hundred seventy-five million, eight hundred thirteen thousand, one hundred fifty-two".