8277818640 has 320 divisors, whose sum is σ = 31722969600. Its totient is φ = 1738801152.

The previous prime is 8277818639. The next prime is 8277818677. The reversal of 8277818640 is 468187728.

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, 5874256 + ... + 5875664.

It is an arithmetic number, because the mean of its divisors is an integer number (99134280).

Almost surely, 2^8277818640 is an apocalyptic number.

8277818640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8277818640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861484800).

8277818640 is an abundant number, since it is smaller than the sum of its proper divisors (23445150960).

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

8277818640 is a wasteful number, since it uses less digits than its factorization.

8277818640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 8277818640 is about 90982.5183208291. The cubic root of 8277818640 is about 2022.8886098464. Note that the first 3 decimals are identical.

The spelling of 8277818640 in words is "eight billion, two hundred seventy-seven million, eight hundred eighteen thousand, six hundred forty".