21674822400 has 1296 divisors, whose sum is σ = 100745718528. Its totient is φ = 4478976000.

The previous prime is 21674822383. The next prime is 21674822423. The reversal of 21674822400 is 422847612.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119750310 + ... + 119750490.

Almost surely, 2^21674822400 is an apocalyptic number.

21674822400 is a gapful number since it is divisible by the number (20) 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 21674822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50372859264).

21674822400 is an abundant number, since it is smaller than the sum of its proper divisors (79070896128).

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

21674822400 is a wasteful number, since it uses less digits than its factorization.

21674822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 21674822400 in words is "twenty-one billion, six hundred seventy-four million, eight hundred twenty-two thousand, four hundred".