7861576832 has 72 divisors (see below), whose sum is σ = 16673374155. Its totient is φ = 3691540480.

The previous prime is 7861576823. The next prime is 7861576897. The reversal of 7861576832 is 2386751687.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4803044416 + 3058532416 = 69304^2 + 55304^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=62696.

Its product of digits (3386880) is a multiple of the sum of its prime divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17053082 + ... + 17053542.

Almost surely, 2^7861576832 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 7861576832

7861576832 is an abundant number, since it is smaller than the sum of its proper divisors (8811797323).

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

7861576832 is an frugal number, since it uses more digits than its factorization.

7861576832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 480 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 53.

The square root of 7861576832 is about 88665.5335065436. The cubic root of 7861576832 is about 1988.3975578246.

The spelling of 7861576832 in words is "seven billion, eight hundred sixty-one million, five hundred seventy-six thousand, eight hundred thirty-two".