2659868774640 has 640 divisors, whose sum is σ = 11436408023040. Its totient is φ = 552025497600.

The previous prime is 2659868774639. The next prime is 2659868774677. The reversal of 2659868774640 is 464778689562.

2659868774640 is a `hidden beast` number, since 2 + 6 + 5 + 9 + 86 + 87 + 7 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 142526910 + ... + 142545570.

It is an arithmetic number, because the mean of its divisors is an integer number (17869387536).

Almost surely, 2^{2659868774640} is an apocalyptic number.

2659868774640 is a gapful number since it is divisible by the number (20) 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 2659868774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718204011520).

2659868774640 is an abundant number, since it is smaller than the sum of its proper divisors (8776539248400).

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

2659868774640 is a wasteful number, since it uses less digits than its factorization.

2659868774640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19558 (or 19546 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 2659868774640 in words is "two trillion, six hundred fifty-nine billion, eight hundred sixty-eight million, seven hundred seventy-four thousand, six hundred forty".