8515874640 has 480 divisors, whose sum is σ = 33727591296. Its totient is φ = 1761177600.

The previous prime is 8515874603. The next prime is 8515874659. The reversal of 8515874640 is 464785158.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8515874640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8102115 + ... + 8103165.

Almost surely, 2^8515874640 is an apocalyptic number.

8515874640 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 8515874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16863795648).

8515874640 is an abundant number, since it is smaller than the sum of its proper divisors (25211716656).

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

8515874640 is a wasteful number, since it uses less digits than its factorization.

8515874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 8515874640 is about 92281.4967368865. The cubic root of 8515874640 is about 2042.0972472355.

The spelling of 8515874640 in words is "eight billion, five hundred fifteen million, eight hundred seventy-four thousand, six hundred forty".