2799662401728 has 224 divisors, whose sum is σ = 8265054336000. Its totient is φ = 929307644928.

The previous prime is 2799662401643. The next prime is 2799662401777. The reversal of 2799662401728 is 8271042669972.

2799662401728 is a `hidden beast` number, since 2 + 79 + 96 + 6 + 2 + 401 + 72 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821736601 + ... + 821740007.

It is an arithmetic number, because the mean of its divisors is an integer number (36897564000).

Almost surely, 2^{2799662401728} 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 2799662401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132527168000).

2799662401728 is an abundant number, since it is smaller than the sum of its proper divisors (5465391934272).

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

2799662401728 is a wasteful number, since it uses less digits than its factorization.

2799662401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2799662401728 in words is "two trillion, seven hundred ninety-nine billion, six hundred sixty-two million, four hundred one thousand, seven hundred twenty-eight".