2646768096 has 384 divisors, whose sum is σ = 9599385600. Its totient is φ = 692375040.

The previous prime is 2646768073. The next prime is 2646768119. The reversal of 2646768096 is 6908676462.

2646768096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2646768073) and next prime (2646768119).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3561901 + ... + 3562643.

It is an arithmetic number, because the mean of its divisors is an integer number (24998400).

Almost surely, 2^2646768096 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 2646768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799692800).

2646768096 is an abundant number, since it is smaller than the sum of its proper divisors (6952617504).

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

2646768096 is a wasteful number, since it uses less digits than its factorization.

2646768096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 2646768096 is about 51446.7501014398. The cubic root of 2646768096 is about 1383.2647090488.

The spelling of 2646768096 in words is "two billion, six hundred forty-six million, seven hundred sixty-eight thousand, ninety-six".