21694761792 has 672 divisors, whose sum is σ = 76104089600. Its totient is φ = 6035420160.

The previous prime is 21694761791. The next prime is 21694761827. The reversal of 21694761792 is 29716749612.

21694761792 is a `hidden beast` number, since 2 + 16 + 9 + 4 + 7 + 617 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21694761791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170824833 + ... + 170824959.

Almost surely, 2^21694761792 is an apocalyptic number.

21694761792 is a gapful number since it is divisible by the number (22) 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 21694761792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38052044800).

21694761792 is an abundant number, since it is smaller than the sum of its proper divisors (54409327808).

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

21694761792 is a wasteful number, since it uses less digits than its factorization.

21694761792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 21694761792 in words is "twenty-one billion, six hundred ninety-four million, seven hundred sixty-one thousand, seven hundred ninety-two".