2704872907968 has 224 divisors, whose sum is σ = 8927427944448. Its totient is φ = 702181708800.

The previous prime is 2704872907939. The next prime is 2704872907973. The reversal of 2704872907968 is 8697092784072.

2704872907968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

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, 27611971 + ... + 27709757.

Almost surely, 2^{2704872907968} is an apocalyptic number.

2704872907968 is a gapful number since it is divisible by the number (28) 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 2704872907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463713972224).

2704872907968 is an abundant number, since it is smaller than the sum of its proper divisors (6222555036480).

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

2704872907968 is a wasteful number, since it uses less digits than its factorization.

2704872907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99691 (or 99681 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 2704872907968 in words is "two trillion, seven hundred four billion, eight hundred seventy-two million, nine hundred seven thousand, nine hundred sixty-eight".