214968536640 has 1344 divisors, whose sum is σ = 922636915200. Its totient is φ = 45210009600.

The previous prime is 214968536609. The next prime is 214968536659. The reversal of 214968536640 is 46635869412.

214968536640 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 68 + 536 + 6 + 40 = 666.

214968536640 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214968536640² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 489677541 + ... + 489677979.

It is an arithmetic number, because the mean of its divisors is an integer number (686485800).

Almost surely, 2^214968536640 is an apocalyptic number.

214968536640 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 214968536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461318457600).

214968536640 is an abundant number, since it is smaller than the sum of its proper divisors (707668378560).

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

214968536640 is a wasteful number, since it uses less digits than its factorization.

214968536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 214968536640 in words is "two hundred fourteen billion, nine hundred sixty-eight million, five hundred thirty-six thousand, six hundred forty".