21667046400 has 660 divisors, whose sum is σ = 82434196592. Its totient is φ = 5643509760.

The previous prime is 21667046369. The next prime is 21667046497. The reversal of 21667046400 is 464076612.

21667046400 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 7 + 0 + 4 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 503884779 + ... + 503884821.

Almost surely, 2^21667046400 is an apocalyptic number.

21667046400 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 21667046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41217098296).

21667046400 is an abundant number, since it is smaller than the sum of its proper divisors (60767150192).

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

21667046400 is an frugal number, since it uses more digits than its factorization.

21667046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21667046400 in words is "twenty-one billion, six hundred sixty-seven million, forty-six thousand, four hundred".