8901771264 has 120 divisors (see below), whose sum is σ = 26376124320. Its totient is φ = 2967109632.

The previous prime is 8901771253. The next prime is 8901771287. The reversal of 8901771264 is 4621771098.

It is a happy number.

It is a super-4 number, since 4×8901771264⁴ (a number of 41 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432307 + ... + 452429.

It is an arithmetic number, because the mean of its divisors is an integer number (219801036).

Almost surely, 2^8901771264 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 8901771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188062160).

8901771264 is an abundant number, since it is smaller than the sum of its proper divisors (17474353056).

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

8901771264 is an equidigital number, since it uses as much as digits as its factorization.

8901771264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20160 (or 20128 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8901771264 is about 94349.1985339568. The cubic root of 8901771264 is about 2072.4885676252.

The spelling of 8901771264 in words is "eight billion, nine hundred one million, seven hundred seventy-one thousand, two hundred sixty-four".