216479450880 has 576 divisors, whose sum is σ = 957769344000. Its totient is φ = 44982190080.

The previous prime is 216479450839. The next prime is 216479450881. The reversal of 216479450880 is 88054974612.

It is a happy number.

216479450880 is a `hidden beast` number, since 2 + 1 + 6 + 47 + 94 + 508 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216479450881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2620446 + ... + 2701794.

It is an arithmetic number, because the mean of its divisors is an integer number (1662794000).

Almost surely, 2^216479450880 is an apocalyptic number.

216479450880 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 216479450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478884672000).

216479450880 is an abundant number, since it is smaller than the sum of its proper divisors (741289893120).

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

216479450880 is a wasteful number, since it uses less digits than its factorization.

216479450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81397 (or 81377 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 216479450880 in words is "two hundred sixteen billion, four hundred seventy-nine million, four hundred fifty thousand, eight hundred eighty".