2968321910400 has 1152 divisors, whose sum is σ = 13982130264960. Its totient is φ = 580504780800.

The previous prime is 2968321910381. The next prime is 2968321910401. The reversal of 2968321910400 is 40191238692.

2968321910400 is a `hidden beast` number, since 29 + 6 + 8 + 3 + 219 + 1 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2968321910401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37659832 + ... + 37738568.

It is an arithmetic number, because the mean of its divisors is an integer number (12137265855).

Almost surely, 2^{2968321910400} is an apocalyptic number.

2968321910400 is a gapful number since it is divisible by the number (20) 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 2968321910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991065132480).

2968321910400 is an abundant number, since it is smaller than the sum of its proper divisors (11013808354560).

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

2968321910400 is a wasteful number, since it uses less digits than its factorization.

2968321910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78802 (or 78782 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2968321910400 in words is "two trillion, nine hundred sixty-eight billion, three hundred twenty-one million, nine hundred ten thousand, four hundred".