9015660800640 has 768 divisors, whose sum is σ = 33793620456960. Its totient is φ = 2201665536000.

The previous prime is 9015660800617. The next prime is 9015660800687. The reversal of 9015660800640 is 460080665109.

9015660800640 is a `hidden beast` number, since 9 + 0 + 1 + 566 + 0 + 80 + 0 + 6 + 4 + 0 = 666.

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

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, 6335670969 + ... + 6335672391.

It is an arithmetic number, because the mean of its divisors is an integer number (44002109970).

Almost surely, 2^{9015660800640} is an apocalyptic number.

9015660800640 is a gapful number since it is divisible by the number (90) 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 9015660800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16896810228480).

9015660800640 is an abundant number, since it is smaller than the sum of its proper divisors (24777959656320).

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

9015660800640 is a wasteful number, since it uses less digits than its factorization.

9015660800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 9015660800640 in words is "nine trillion, fifteen billion, six hundred sixty million, eight hundred thousand, six hundred forty".