8626951872 has 448 divisors, whose sum is σ = 33006182400. Its totient is φ = 2142581760.

The previous prime is 8626951859. The next prime is 8626951889. The reversal of 8626951872 is 2781596268.

8626951872 is a `hidden beast` number, since 8 + 62 + 69 + 518 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3058879 + ... + 3061697.

Almost surely, 2^8626951872 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 8626951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16503091200).

8626951872 is an abundant number, since it is smaller than the sum of its proper divisors (24379230528).

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

8626951872 is a wasteful number, since it uses less digits than its factorization.

8626951872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2865 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 8626951872 is about 92881.3860361698. The cubic root of 8626951872 is about 2050.9376533122.

The spelling of 8626951872 in words is "eight billion, six hundred twenty-six million, nine hundred fifty-one thousand, eight hundred seventy-two".