216724377600 has 1560 divisors, whose sum is σ = 895924699560. Its totient is φ = 51527024640.

The previous prime is 216724377599. The next prime is 216724377647. The reversal of 216724377600 is 6773427612.

216724377600 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 2 + 4 + 37 + 7 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 14353956864 + 202370420736 = 119808^2 + 449856^2 .

It is a super-2 number, since 2×216724377600² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4089139174 + ... + 4089139226.

Almost surely, 2^216724377600 is an apocalyptic number.

216724377600 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 216724377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447962349780).

216724377600 is an abundant number, since it is smaller than the sum of its proper divisors (679200321960).

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

216724377600 is a wasteful number, since it uses less digits than its factorization.

216724377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 216724377600 in words is "two hundred sixteen billion, seven hundred twenty-four million, three hundred seventy-seven thousand, six hundred".