2647109678304 has 768 divisors, whose sum is σ = 9483264000000. Its totient is φ = 639998392320.

The previous prime is 2647109678287. The next prime is 2647109678309. The reversal of 2647109678304 is 4038769017462.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2647109678309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252124447 + ... + 252134945.

It is an arithmetic number, because the mean of its divisors is an integer number (12348000000).

Almost surely, 2^{2647109678304} is an apocalyptic number.

2647109678304 is a gapful number since it is divisible by the number (24) 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 2647109678304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741632000000).

2647109678304 is an abundant number, since it is smaller than the sum of its proper divisors (6836154321696).

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

2647109678304 is a wasteful number, since it uses less digits than its factorization.

2647109678304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10596 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 2647109678304 in words is "two trillion, six hundred forty-seven billion, one hundred nine million, six hundred seventy-eight thousand, three hundred four".