216064454400 has 540 divisors, whose sum is σ = 804104240632. Its totient is φ = 57241313280.

The previous prime is 216064454371. The next prime is 216064454449. The reversal of 216064454400 is 4454460612.

216064454400 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 644 + 5 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 84497922 + ... + 84500478.

Almost surely, 2^216064454400 is an apocalyptic number.

216064454400 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 216064454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402052120316).

216064454400 is an abundant number, since it is smaller than the sum of its proper divisors (588039786232).

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

216064454400 is a wasteful number, since it uses less digits than its factorization.

216064454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 216064454400 in words is "two hundred sixteen billion, sixty-four million, four hundred fifty-four thousand, four hundred".