21343467600 has 1440 divisors, whose sum is σ = 100295802880. Its totient is φ = 4232632320.

The previous prime is 21343467599. The next prime is 21343467641. The reversal of 21343467600 is 676434312.

It is a happy number.

21343467600 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 3 + 46 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 168058737 + ... + 168058863.

Almost surely, 2^21343467600 is an apocalyptic number.

21343467600 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 21343467600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50147901440).

21343467600 is an abundant number, since it is smaller than the sum of its proper divisors (78952335280).

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

21343467600 is a wasteful number, since it uses less digits than its factorization.

21343467600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 21343467600 in words is "twenty-one billion, three hundred forty-three million, four hundred sixty-seven thousand, six hundred".