10023799472064 has 336 divisors, whose sum is σ = 32988463522560. Its totient is φ = 2850651648000.

The previous prime is 10023799472021. The next prime is 10023799472069. The reversal of 10023799472064 is 46027499732001.

10023799472064 is a `hidden beast` number, since 1 + 0 + 0 + 23 + 7 + 99 + 472 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10023799472064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023799472069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421790507 + ... + 2421794645.

It is an arithmetic number, because the mean of its divisors is an integer number (98179950960).

Almost surely, 2^{10023799472064} is an apocalyptic number.

10023799472064 is a gapful number since it is divisible by the number (14) 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 10023799472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16494231761280).

10023799472064 is an abundant number, since it is smaller than the sum of its proper divisors (22964664050496).

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

10023799472064 is a wasteful number, since it uses less digits than its factorization.

10023799472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10023799472064 in words is "ten trillion, twenty-three billion, seven hundred ninety-nine million, four hundred seventy-two thousand, sixty-four".