216674438400 has 1728 divisors, whose sum is σ = 988721717760. Its totient is φ = 45298483200.

The previous prime is 216674438389. The next prime is 216674438401. The reversal of 216674438400 is 4834476612.

216674438400 is a `hidden beast` number, since 2 + 166 + 7 + 443 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216674438401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 843091072 + ... + 843091328.

It is an arithmetic number, because the mean of its divisors is an integer number (572176920).

Almost surely, 2^216674438400 is an apocalyptic number.

216674438400 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 216674438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494360858880).

216674438400 is an abundant number, since it is smaller than the sum of its proper divisors (772047279360).

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

216674438400 is a wasteful number, since it uses less digits than its factorization.

216674438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 216674438400 in words is "two hundred sixteen billion, six hundred seventy-four million, four hundred thirty-eight thousand, four hundred".