2679374770800 has 480 divisors, whose sum is σ = 10588302305280. Its totient is φ = 563997081600.

The previous prime is 2679374770799. The next prime is 2679374770837. The reversal of 2679374770800 is 80774739762.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47036736 + ... + 47093664.

It is an arithmetic number, because the mean of its divisors is an integer number (22058963136).

Almost surely, 2^{2679374770800} is an apocalyptic number.

2679374770800 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 2679374770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294151152640).

2679374770800 is an abundant number, since it is smaller than the sum of its proper divisors (7908927534480).

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

2679374770800 is a wasteful number, since it uses less digits than its factorization.

2679374770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57401 (or 57390 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 60.

The spelling of 2679374770800 in words is "two trillion, six hundred seventy-nine billion, three hundred seventy-four million, seven hundred seventy thousand, eight hundred".