264217106880 has 1344 divisors, whose sum is σ = 1054442188800. Its totient is φ = 60383232000.

The previous prime is 264217106809. The next prime is 264217106887. The reversal of 264217106880 is 88601712462.

264217106880 is a `hidden beast` number, since 26 + 421 + 71 + 0 + 68 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264217106887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2016924415 + ... + 2016924545.

It is an arithmetic number, because the mean of its divisors is an integer number (784555200).

Almost surely, 2^264217106880 is an apocalyptic number.

264217106880 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 264217106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527221094400).

264217106880 is an abundant number, since it is smaller than the sum of its proper divisors (790225081920).

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

264217106880 is a wasteful number, since it uses less digits than its factorization.

264217106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 264217106880 in words is "two hundred sixty-four billion, two hundred seventeen million, one hundred six thousand, eight hundred eighty".