8043582690 has 480 divisors, whose sum is σ = 26279225280. Its totient is φ = 1752917760.

The previous prime is 8043582667. The next prime is 8043582697. The reversal of 8043582690 is 962853408.

8043582690 is a `hidden beast` number, since 8 + 0 + 4 + 3 + 582 + 69 + 0 = 666.

It is a super-2 number, since 2×8043582690² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8043582697) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 75173617 + ... + 75173723.

It is an arithmetic number, because the mean of its divisors is an integer number (54748386).

Almost surely, 2^8043582690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8043582690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139612640).

8043582690 is an abundant number, since it is smaller than the sum of its proper divisors (18235642590).

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

8043582690 is a wasteful number, since it uses less digits than its factorization.

8043582690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8043582690 is about 89686.0228240722. The cubic root of 8043582690 is about 2003.6253154068.

The spelling of 8043582690 in words is "eight billion, forty-three million, five hundred eighty-two thousand, six hundred ninety".