216180762624 has 336 divisors, whose sum is σ = 670569599700. Its totient is φ = 69561483264.

The previous prime is 216180762617. The next prime is 216180762661. The reversal of 216180762624 is 426267081612.

216180762624 is a `hidden beast` number, since 2 + 1 + 6 + 18 + 0 + 7 + 6 + 2 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215266305024 + 914457600 = 463968^2 + 30240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 216180762624.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43294272 + ... + 43299264.

Almost surely, 2^216180762624 is an apocalyptic number.

216180762624 is a gapful number since it is divisible by the number (24) 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 216180762624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335284799850).

216180762624 is an abundant number, since it is smaller than the sum of its proper divisors (454388837076).

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

216180762624 is an frugal number, since it uses more digits than its factorization.

216180762624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 216180762624 in words is "two hundred sixteen billion, one hundred eighty million, seven hundred sixty-two thousand, six hundred twenty-four".