2679399820800 has 960 divisors, whose sum is σ = 10549012320000. Its totient is φ = 664043028480.

The previous prime is 2679399820751. The next prime is 2679399820813. The reversal of 2679399820800 is 80289939762.

2679399820800 is a `hidden beast` number, since 26 + 79 + 399 + 82 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2679399820800² (a number of 26 digits) contains 22 as substring.

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, 348015351 + ... + 348023049.

It is an arithmetic number, because the mean of its divisors is an integer number (10988554500).

Almost surely, 2^{2679399820800} is an apocalyptic number.

2679399820800 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 2679399820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274506160000).

2679399820800 is an abundant number, since it is smaller than the sum of its proper divisors (7869612499200).

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

2679399820800 is a wasteful number, since it uses less digits than its factorization.

2679399820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 2679399820800 in words is "two trillion, six hundred seventy-nine billion, three hundred ninety-nine million, eight hundred twenty thousand, eight hundred".