2768466798720 has 2048 divisors, whose sum is σ = 12711582720000. Its totient is φ = 554198630400.

The previous prime is 2768466798719. The next prime is 2768466798763. The reversal of 2768466798720 is 278976648672.

2768466798720 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 466 + 7 + 98 + 72 + 0 = 666.

It is a super-2 number, since 2×2768466798720² (a number of 26 digits) contains 22 as substring.

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

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 255 ways as a sum of consecutive naturals, for example, 2305134120 + ... + 2305135320.

It is an arithmetic number, because the mean of its divisors is an integer number (6206827500).

Almost surely, 2^{2768466798720} is an apocalyptic number.

2768466798720 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 2768466798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355791360000).

2768466798720 is an abundant number, since it is smaller than the sum of its proper divisors (9943115921280).

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

2768466798720 is a wasteful number, since it uses less digits than its factorization.

2768466798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 2768466798720 in words is "two trillion, seven hundred sixty-eight billion, four hundred sixty-six million, seven hundred ninety-eight thousand, seven hundred twenty".