2799927668736 has 1040 divisors, whose sum is σ = 9704958912000. Its totient is φ = 795466137600.

The previous prime is 2799927668729. The next prime is 2799927668737. The reversal of 2799927668736 is 6378667299972.

2799927668736 is a `hidden beast` number, since 279 + 9 + 9 + 276 + 6 + 8 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (5184974592) is a multiple of the sum of its prime factors (486).

It is not an unprimeable number, because it can be changed into a prime (2799927668737) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10331836281 + ... + 10331836551.

Almost surely, 2^{2799927668736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2799927668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852479456000).

2799927668736 is an abundant number, since it is smaller than the sum of its proper divisors (6905031243264).

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

2799927668736 is a wasteful number, since it uses less digits than its factorization.

2799927668736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 455 counting only the distinct ones).

The product of its digits is 5184974592, while the sum is 81.

The spelling of 2799927668736 in words is "two trillion, seven hundred ninety-nine billion, nine hundred twenty-seven million, six hundred sixty-eight thousand, seven hundred thirty-six".