8540864640 has 1024 divisors, whose sum is σ = 38776320000. Its totient is φ = 1761177600.

The previous prime is 8540864627. The next prime is 8540864659. The reversal of 8540864640 is 464680458.

8540864640 is a `hidden beast` number, since 8 + 540 + 8 + 64 + 6 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65197375 + ... + 65197505.

It is an arithmetic number, because the mean of its divisors is an integer number (37867500).

Almost surely, 2^8540864640 is an apocalyptic number.

8540864640 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 8540864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388160000).

8540864640 is an abundant number, since it is smaller than the sum of its proper divisors (30235455360).

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

8540864640 is a wasteful number, since it uses less digits than its factorization.

8540864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8540864640 is about 92416.7984730049. The cubic root of 8540864640 is about 2044.0928212054.

The spelling of 8540864640 in words is "eight billion, five hundred forty million, eight hundred sixty-four thousand, six hundred forty".