216694414080 has 864 divisors, whose sum is σ = 833107451904. Its totient is φ = 53737095168.

The previous prime is 216694414073. The next prime is 216694414087. The reversal of 216694414080 is 80414496612.

216694414080 is a `hidden beast` number, since 2 + 166 + 9 + 441 + 40 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216694414073) and next prime (216694414087).

It is a tau number, because it is divible by the number of its divisors (864).

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 (216694414087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 565781569 + ... + 565781951.

It is an arithmetic number, because the mean of its divisors is an integer number (964244736).

Almost surely, 2^216694414080 is an apocalyptic number.

216694414080 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 216694414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416553725952).

216694414080 is an abundant number, since it is smaller than the sum of its proper divisors (616413037824).

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

216694414080 is a wasteful number, since it uses less digits than its factorization.

216694414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 216694414080 in words is "two hundred sixteen billion, six hundred ninety-four million, four hundred fourteen thousand, eighty".