8579474640 has 480 divisors, whose sum is σ = 33255121536. Its totient is φ = 2037934080.

The previous prime is 8579474633. The next prime is 8579474669. The reversal of 8579474640 is 464749758.

8579474640 is a `hidden beast` number, since 8 + 579 + 4 + 7 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11333142 + ... + 11333898.

Almost surely, 2^8579474640 is an apocalyptic number.

8579474640 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 8579474640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16627560768).

8579474640 is an abundant number, since it is smaller than the sum of its proper divisors (24675646896).

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

8579474640 is a wasteful number, since it uses less digits than its factorization.

8579474640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 8579474640 is about 92625.4535211569. The cubic root of 8579474640 is about 2047.1683800567.

The spelling of 8579474640 in words is "eight billion, five hundred seventy-nine million, four hundred seventy-four thousand, six hundred forty".