216690717600 has 864 divisors, whose sum is σ = 944480549376. Its totient is φ = 45615513600.

The previous prime is 216690717589. The next prime is 216690717601. The reversal of 216690717600 is 6717096612.

It is a happy number.

216690717600 is a `hidden beast` number, since 21 + 6 + 6 + 9 + 0 + 7 + 17 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (216690717601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40266910 + ... + 40272290.

It is an arithmetic number, because the mean of its divisors is an integer number (1093148784).

Almost surely, 2^216690717600 is an apocalyptic number.

216690717600 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 216690717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472240274688).

216690717600 is an abundant number, since it is smaller than the sum of its proper divisors (727789831776).

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

216690717600 is a wasteful number, since it uses less digits than its factorization.

216690717600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 216690717600 in words is "two hundred sixteen billion, six hundred ninety million, seven hundred seventeen thousand, six hundred".