2765012716368 has 320 divisors, whose sum is σ = 9584158003200. Its totient is φ = 745574699520.

The previous prime is 2765012716363. The next prime is 2765012716391. The reversal of 2765012716368 is 8636172105672.

2765012716368 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 0 + 1 + 271 + 6 + 368 = 666.

It is a super-2 number, since 2×2765012716368² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2765012716363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15019438 + ... + 15202418.

It is an arithmetic number, because the mean of its divisors is an integer number (29950493760).

Almost surely, 2^{2765012716368} is an apocalyptic number.

2765012716368 is a gapful number since it is divisible by the number (28) 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 2765012716368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792079001600).

2765012716368 is an abundant number, since it is smaller than the sum of its proper divisors (6819145286832).

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

2765012716368 is a wasteful number, since it uses less digits than its factorization.

2765012716368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183287 (or 183275 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2765012716368 in words is "two trillion, seven hundred sixty-five billion, twelve million, seven hundred sixteen thousand, three hundred sixty-eight".