216079902720 has 720 divisors, whose sum is σ = 851702391540. Its totient is φ = 52358676480.

The previous prime is 216079902697. The next prime is 216079902749. The reversal of 216079902720 is 27209970612.

It can be written as a sum of positive squares in 2 ways, for example, as 193909883904 + 22170018816 = 440352^2 + 148896^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 59 ways as a sum of consecutive naturals, for example, 100361164 + ... + 100363316.

Almost surely, 2^216079902720 is an apocalyptic number.

216079902720 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 216079902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425851195770).

216079902720 is an abundant number, since it is smaller than the sum of its proper divisors (635622488820).

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

216079902720 is a wasteful number, since it uses less digits than its factorization.

216079902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2174 counting only the distinct ones).

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

The spelling of 216079902720 in words is "two hundred sixteen billion, seventy-nine million, nine hundred two thousand, seven hundred twenty".