2646868783104 has 1664 divisors, whose sum is σ = 10399262146560. Its totient is φ = 653572177920.

The previous prime is 2646868783081. The next prime is 2646868783177. The reversal of 2646868783104 is 4013878686462.

2646868783104 is a `hidden beast` number, since 2 + 6 + 468 + 6 + 87 + 83 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13857951649 + ... + 13857951839.

Almost surely, 2^{2646868783104} is an apocalyptic number.

2646868783104 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 2646868783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199631073280).

2646868783104 is an abundant number, since it is smaller than the sum of its proper divisors (7752393363456).

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

2646868783104 is an equidigital number, since it uses as much as digits as its factorization.

2646868783104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 2646868783104 in words is "two trillion, six hundred forty-six billion, eight hundred sixty-eight million, seven hundred eighty-three thousand, one hundred four".