2757897918864 has 405 divisors, whose sum is σ = 8884871519979. Its totient is φ = 797929292160.

The previous prime is 2757897918833. The next prime is 2757897918869. The reversal of 2757897918864 is 4688197987572.

The square root of 2757897918864 is 1660692.

It is a perfect power (a square), and thus also a powerful number.

2757897918864 is a `hidden beast` number, since 27 + 578 + 9 + 7 + 9 + 18 + 8 + 6 + 4 = 666.

Its product of digits (3413975040) is a multiple of the sum of its prime factors (1176).

It is not an unprimeable number, because it can be changed into a prime (2757897918869) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 5041860639 + ... + 5041861185.

Almost surely, 2^{2757897918864} is an apocalyptic number.

2757897918864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2757897918864 is the 1660692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2757897918864

2757897918864 is an abundant number, since it is smaller than the sum of its proper divisors (6126973601115).

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

2757897918864 is a wasteful number, since it uses less digits than its factorization.

2757897918864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 586 counting only the distinct ones).

The product of its digits is 3413975040, while the sum is 81.

Multiplying 2757897918864 by its sum of digits (81), we get a square (223389731427984 = 14946228²).

The spelling of 2757897918864 in words is "two trillion, seven hundred fifty-seven billion, eight hundred ninety-seven million, nine hundred eighteen thousand, eight hundred sixty-four".