8619253632 has 256 divisors, whose sum is σ = 29214432000. Its totient is φ = 2474219520.

The previous prime is 8619253627. The next prime is 8619253661. The reversal of 8619253632 is 2363529168.

8619253632 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 2 + 5 + 3 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716338 + ... + 728270.

It is an arithmetic number, because the mean of its divisors is an integer number (114118875).

Almost surely, 2^8619253632 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 8619253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607216000).

8619253632 is an abundant number, since it is smaller than the sum of its proper divisors (20595178368).

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

8619253632 is a wasteful number, since it uses less digits than its factorization.

8619253632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11986 (or 11968 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 8619253632 is about 92839.9355450013. The cubic root of 8619253632 is about 2050.3274219832.

The spelling of 8619253632 in words is "eight billion, six hundred nineteen million, two hundred fifty-three thousand, six hundred thirty-two".