2364738872064 has 288 divisors, whose sum is σ = 6965703972864. Its totient is φ = 708388454400.

The previous prime is 2364738872057. The next prime is 2364738872101. The reversal of 2364738872064 is 4602788374632.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2364738871989 and 2364738872007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180466537 + ... + 180479639.

It is an arithmetic number, because the mean of its divisors is an integer number (24186472128).

Almost surely, 2^{2364738872064} is an apocalyptic number.

2364738872064 is a gapful number since it is divisible by the number (24) 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 2364738872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482851986432).

2364738872064 is an abundant number, since it is smaller than the sum of its proper divisors (4600965100800).

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

2364738872064 is a wasteful number, since it uses less digits than its factorization.

2364738872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 60.

The spelling of 2364738872064 in words is "two trillion, three hundred sixty-four billion, seven hundred thirty-eight million, eight hundred seventy-two thousand, sixty-four".