8719637640 has 512 divisors, whose sum is σ = 32845824000. Its totient is φ = 1808142336.

The previous prime is 8719637627. The next prime is 8719637651. The reversal of 8719637640 is 467369178.

It is a Cunningham number, because it is equal to 93379²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44262022 + ... + 44262218.

It is an arithmetic number, because the mean of its divisors is an integer number (64152000).

Almost surely, 2^8719637640 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 8719637640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422912000).

8719637640 is an abundant number, since it is smaller than the sum of its proper divisors (24126186360).

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

8719637640 is a wasteful number, since it uses less digits than its factorization.

8719637640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 8719637640 is about 93378.9999946455. Note that the first 5 decimals coincide. The cubic root of 8719637640 is about 2058.2564220398.

The spelling of 8719637640 in words is "eight billion, seven hundred nineteen million, six hundred thirty-seven thousand, six hundred forty".