8290064640 has 576 divisors, whose sum is σ = 32174456832. Its totient is φ = 1791590400.

The previous prime is 8290064611. The next prime is 8290064663. The reversal of 8290064640 is 464600928.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 17022477 + ... + 17022963.

It is an arithmetic number, because the mean of its divisors is an integer number (55858432).

Almost surely, 2^8290064640 is an apocalyptic number.

8290064640 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 8290064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087228416).

8290064640 is an abundant number, since it is smaller than the sum of its proper divisors (23884392192).

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

8290064640 is a wasteful number, since it uses less digits than its factorization.

8290064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 8290064640 is about 91049.7920920196. The cubic root of 8290064640 is about 2023.8856554524.

The spelling of 8290064640 in words is "eight billion, two hundred ninety million, sixty-four thousand, six hundred forty".