2968790563648 has 56 divisors (see below), whose sum is σ = 7250700044672. Its totient is φ = 1174466594304.

The previous prime is 2968790563633. The next prime is 2968790563649. The reversal of 2968790563648 is 8463650978692.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968790563649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254869740 + ... + 254881387.

It is an arithmetic number, because the mean of its divisors is an integer number (129476786512).

Almost surely, 2^{2968790563648} is an apocalyptic number.

2968790563648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2968790563648 is an abundant number, since it is smaller than the sum of its proper divisors (4281909481024).

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

2968790563648 is a wasteful number, since it uses less digits than its factorization.

2968790563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509751159 (or 509751149 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 73.

The spelling of 2968790563648 in words is "two trillion, nine hundred sixty-eight billion, seven hundred ninety million, five hundred sixty-three thousand, six hundred forty-eight".