216262497680640 has 576 divisors, whose sum is σ = 769184619033600. Its totient is φ = 57538394136576.

The previous prime is 216262497680633. The next prime is 216262497680707. The reversal of 216262497680640 is 46086794262612.

It is a happy number.

216262497680640 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 6 + 2 + 497 + 6 + 80 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47983689267 + ... + 47983693773.

It is an arithmetic number, because the mean of its divisors is an integer number (1335389963600).

Almost surely, 2^{216262497680640} is an apocalyptic number.

216262497680640 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 216262497680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384592309516800).

216262497680640 is an abundant number, since it is smaller than the sum of its proper divisors (552922121352960).

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

216262497680640 is a wasteful number, since it uses less digits than its factorization.

216262497680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 216262497680640 in words is "two hundred sixteen trillion, two hundred sixty-two billion, four hundred ninety-seven million, six hundred eighty thousand, six hundred forty".