216480578670720 has 9216 divisors, whose sum is σ = 1094345126784000. Its totient is φ = 38847412961280.

The previous prime is 216480578670703. The next prime is 216480578670749. The reversal of 216480578670720 is 27076875084612.

It is a happy number.

216480578670720 is a `hidden beast` number, since 2 + 1 + 6 + 480 + 5 + 7 + 86 + 7 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2432366052436 + ... + 2432366052524.

It is an arithmetic number, because the mean of its divisors is an integer number (118744045875).

Almost surely, 2^{216480578670720} is an apocalyptic number.

216480578670720 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 216480578670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547172563392000).

216480578670720 is an abundant number, since it is smaller than the sum of its proper divisors (877864548113280).

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

216480578670720 is a wasteful number, since it uses less digits than its factorization.

216480578670720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 216480578670720 in words is "two hundred sixteen trillion, four hundred eighty billion, five hundred seventy-eight million, six hundred seventy thousand, seven hundred twenty".