2645764767360 has 2560 divisors, whose sum is σ = 11883391027200. Its totient is φ = 551809843200.

The previous prime is 2645764767323. The next prime is 2645764767397. The reversal of 2645764767360 is 637674675462.

2645764767360 is a `hidden beast` number, since 2 + 6 + 457 + 64 + 7 + 67 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2645764767323) and next prime (2645764767397).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6664394682 + ... + 6664395078.

It is an arithmetic number, because the mean of its divisors is an integer number (4641949620).

Almost surely, 2^{2645764767360} is an apocalyptic number.

2645764767360 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 2645764767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941695513600).

2645764767360 is an abundant number, since it is smaller than the sum of its proper divisors (9237626259840).

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

2645764767360 is a wasteful number, since it uses less digits than its factorization.

2645764767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 2645764767360 in words is "two trillion, six hundred forty-five billion, seven hundred sixty-four million, seven hundred sixty-seven thousand, three hundred sixty".