2693168590464 has 640 divisors, whose sum is σ = 9556617945600. Its totient is φ = 743310950400.

The previous prime is 2693168590451. The next prime is 2693168590501. The reversal of 2693168590464 is 4640958613962.

2693168590464 is a `hidden beast` number, since 2 + 6 + 9 + 3 + 1 + 6 + 85 + 90 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60080892 + ... + 60125700.

It is an arithmetic number, because the mean of its divisors is an integer number (14932215540).

Almost surely, 2^{2693168590464} is an apocalyptic number.

2693168590464 is a gapful number since it is divisible by the number (24) 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 2693168590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778308972800).

2693168590464 is an abundant number, since it is smaller than the sum of its proper divisors (6863449355136).

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

2693168590464 is a wasteful number, since it uses less digits than its factorization.

2693168590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44894 (or 44873 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 2693168590464 in words is "two trillion, six hundred ninety-three billion, one hundred sixty-eight million, five hundred ninety thousand, four hundred sixty-four".