7872538464 has 144 divisors (see below), whose sum is σ = 25612423200. Its totient is φ = 2246952960.

The previous prime is 7872538459. The next prime is 7872538477. The reversal of 7872538464 is 4648352787.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 7872538464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3121524 + ... + 3124044.

It is an arithmetic number, because the mean of its divisors is an integer number (177864050).

Almost surely, 2^7872538464 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 7872538464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806211600).

7872538464 is an abundant number, since it is smaller than the sum of its proper divisors (17739884736).

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

7872538464 is a wasteful number, since it uses less digits than its factorization.

7872538464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4082 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 7872538464 is about 88727.3264783742. The cubic root of 7872538464 is about 1989.3212893819.

The spelling of 7872538464 in words is "seven billion, eight hundred seventy-two million, five hundred thirty-eight thousand, four hundred sixty-four".