2679327746400 has 72 divisors (see below), whose sum is σ = 8721211822344. Its totient is φ = 714487398400.

The previous prime is 2679327746383. The next prime is 2679327746441. The reversal of 2679327746400 is 46477239762.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558190881 + ... + 558195680.

It is an arithmetic number, because the mean of its divisors is an integer number (121127941977).

Almost surely, 2^{2679327746400} is an apocalyptic number.

2679327746400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2679327746400 is an abundant number, since it is smaller than the sum of its proper divisors (6041884075944).

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

2679327746400 is a wasteful number, since it uses less digits than its factorization.

2679327746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116386584 (or 1116386571 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 57.

The spelling of 2679327746400 in words is "two trillion, six hundred seventy-nine billion, three hundred twenty-seven million, seven hundred forty-six thousand, four hundred".