2368029063680 has 160 divisors (see below), whose sum is σ = 6531802295040. Its totient is φ = 806517964800.

The previous prime is 2368029063679. The next prime is 2368029063689. The reversal of 2368029063680 is 863609208632.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2368029063689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2268356 + ... + 3143484.

It is an arithmetic number, because the mean of its divisors is an integer number (40823764344).

Almost surely, 2^{2368029063680} is an apocalyptic number.

2368029063680 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 2368029063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265901147520).

2368029063680 is an abundant number, since it is smaller than the sum of its proper divisors (4163773231360).

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

2368029063680 is an equidigital number, since it uses as much as digits as its factorization.

2368029063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875310 (or 875294 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 53.

The spelling of 2368029063680 in words is "two trillion, three hundred sixty-eight billion, twenty-nine million, sixty-three thousand, six hundred eighty".