21964963575744 has 392 divisors, whose sum is σ = 74720313335808. Its totient is φ = 6272815219200.

The previous prime is 21964963575677. The next prime is 21964963575757. The reversal of 21964963575744 is 44757536946912.

21964963575744 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 4 + 9 + 6 + 3 + 575 + 7 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 767803489 + ... + 767832095.

It is an arithmetic number, because the mean of its divisors is an integer number (190613044224).

Almost surely, 2^{21964963575744} is an apocalyptic number.

21964963575744 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 21964963575744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37360156667904).

21964963575744 is an abundant number, since it is smaller than the sum of its proper divisors (52755349760064).

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

21964963575744 is an equidigital number, since it uses as much as digits as its factorization.

21964963575744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30995 (or 30970 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 21964963575744 in words is "twenty-one trillion, nine hundred sixty-four billion, nine hundred sixty-three million, five hundred seventy-five thousand, seven hundred forty-four".