8290366560 has 288 divisors, whose sum is σ = 33739130880. Its totient is φ = 1812501504.

The previous prime is 8290366547. The next prime is 8290366573. The reversal of 8290366560 is 656630928.

It is a happy number.

8290366560 is a `hidden beast` number, since 8 + 29 + 0 + 3 + 66 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (8290366547) and next prime (8290366573).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213961 + ... + 249719.

It is an arithmetic number, because the mean of its divisors is an integer number (117149760).

Almost surely, 2^8290366560 is an apocalyptic number.

8290366560 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 8290366560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869565440).

8290366560 is an abundant number, since it is smaller than the sum of its proper divisors (25448764320).

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

8290366560 is a wasteful number, since it uses less digits than its factorization.

8290366560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35810 (or 35799 counting only the distinct ones).

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

The square root of 8290366560 is about 91051.4500708253. The cubic root of 8290366560 is about 2023.9102247880.

The spelling of 8290366560 in words is "eight billion, two hundred ninety million, three hundred sixty-six thousand, five hundred sixty".