21674589469632 has 1344 divisors, whose sum is σ = 73182974312448. Its totient is φ = 6122598451200.

The previous prime is 21674589469613. The next prime is 21674589469649. The reversal of 21674589469632 is 23696498547612.

21674589469632 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 4 + 589 + 4 + 6 + 9 + 6 + 32 = 666.

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

Its product of digits (940584960) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129787960813 + ... + 129787960979.

It is an arithmetic number, because the mean of its divisors is an integer number (54451617792).

Almost surely, 2^{21674589469632} is an apocalyptic number.

21674589469632 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 21674589469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36591487156224).

21674589469632 is an abundant number, since it is smaller than the sum of its proper divisors (51508384842816).

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

21674589469632 is a wasteful number, since it uses less digits than its factorization.

21674589469632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 384 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 21674589469632 in words is "twenty-one trillion, six hundred seventy-four billion, five hundred eighty-nine million, four hundred sixty-nine thousand, six hundred thirty-two".