2364781891968 has 192 divisors, whose sum is σ = 6902992212480. Its totient is φ = 776943098880.

The previous prime is 2364781891937. The next prime is 2364781891991. The reversal of 2364781891968 is 8691981874632.

2364781891968 is a `hidden beast` number, since 2 + 3 + 6 + 478 + 1 + 8 + 91 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2364781891896 and 2364781891905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41181805 + ... + 41239187.

It is an arithmetic number, because the mean of its divisors is an integer number (35953084440).

Almost surely, 2^{2364781891968} 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 2364781891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451496106240).

2364781891968 is an abundant number, since it is smaller than the sum of its proper divisors (4538210320512).

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

2364781891968 is a wasteful number, since it uses less digits than its factorization.

2364781891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57917 (or 57902 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 2364781891968 in words is "two trillion, three hundred sixty-four billion, seven hundred eighty-one million, eight hundred ninety-one thousand, nine hundred sixty-eight".