7328952576 has 540 divisors, whose sum is σ = 25262662656. Its totient is φ = 2107607040.

The previous prime is 7328952557. The next prime is 7328952583. The reversal of 7328952576 is 6752598237.

7328952576 is a `hidden beast` number, since 7 + 32 + 89 + 525 + 7 + 6 = 666.

It is a super-2 number, since 2×7328952576² (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).

Its product of digits (6350400) is a multiple of the sum of its prime factors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 57708225 + ... + 57708351.

Almost surely, 2^7328952576 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 7328952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631331328).

7328952576 is an abundant number, since it is smaller than the sum of its proper divisors (17933710080).

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

7328952576 is a wasteful number, since it uses less digits than its factorization.

7328952576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 7328952576 is about 85609.3019244988. The cubic root of 7328952576 is about 1942.4386182360.

The spelling of 7328952576 in words is "seven billion, three hundred twenty-eight million, nine hundred fifty-two thousand, five hundred seventy-six".