3560120000640 has 1024 divisors, whose sum is σ = 14726541312000. Its totient is φ = 796006268928.

The previous prime is 3560120000609. The next prime is 3560120000659. The reversal of 3560120000640 is 460000210653.

3560120000640 is a `hidden beast` number, since 3 + 5 + 6 + 0 + 12 + 0 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 1591469602 + ... + 1591471838.

It is an arithmetic number, because the mean of its divisors is an integer number (14381388000).

Almost surely, 2^{3560120000640} is an apocalyptic number.

3560120000640 is a gapful number since it is divisible by the number (30) 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 3560120000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363270656000).

3560120000640 is an abundant number, since it is smaller than the sum of its proper divisors (11166421311360).

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

3560120000640 is a wasteful number, since it uses less digits than its factorization.

3560120000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 3560120000640 in words is "three trillion, five hundred sixty billion, one hundred twenty million, six hundred forty", and thus it is an aban number.