7587032961 has 32 divisors (see below), whose sum is σ = 10587456000. Its totient is φ = 4828658688.

The previous prime is 7587032941. The next prime is 7587032989. The reversal of 7587032961 is 1692307857.

7587032961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7587032961 - 2⁶ = 7587032897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7587032961.

It is not an unprimeable number, because it can be changed into a prime (7587032911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359585 + ... + 1365153.

It is an arithmetic number, because the mean of its divisors is an integer number (330858000).

Almost surely, 2^7587032961 is an apocalyptic number.

It is an amenable number.

7587032961 is a deficient number, since it is larger than the sum of its proper divisors (3000423039).

7587032961 is a wasteful number, since it uses less digits than its factorization.

7587032961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5853.

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 7587032961 is about 87103.5760517328. The cubic root of 7587032961 is about 1964.9763315785.

The spelling of 7587032961 in words is "seven billion, five hundred eighty-seven million, thirty-two thousand, nine hundred sixty-one".