216724625568 has 288 divisors, whose sum is σ = 705195408960. Its totient is φ = 64691827200.

The previous prime is 216724625567. The next prime is 216724625569. The reversal of 216724625568 is 865526427612.

216724625568 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 2 + 4 + 625 + 5 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (216724625567) and next prime (216724625569).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (216724625567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6988978 + ... + 7019918.

It is an arithmetic number, because the mean of its divisors is an integer number (2448595170).

Almost surely, 2^216724625568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216724625568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352597704480).

216724625568 is an abundant number, since it is smaller than the sum of its proper divisors (488470783392).

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

216724625568 is a wasteful number, since it uses less digits than its factorization.

216724625568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31049 (or 31024 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 216724625568 in words is "two hundred sixteen billion, seven hundred twenty-four million, six hundred twenty-five thousand, five hundred sixty-eight".