13664772000 has 432 divisors, whose sum is σ = 53322816456. Its totient is φ = 3311616000.

The previous prime is 13664771987. The next prime is 13664772041. The reversal of 13664772000 is 27746631.

13664772000 is a `hidden beast` number, since 1 + 3 + 6 + 647 + 7 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9007528464 + 4657243536 = 94908^2 + 68244^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4354432 + ... + 4357568.

Almost surely, 2^13664772000 is an apocalyptic number.

13664772000 is a gapful number since it is divisible by the number (10) 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 13664772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26661408228).

13664772000 is an abundant number, since it is smaller than the sum of its proper divisors (39658044456).

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

13664772000 is a wasteful number, since it uses less digits than its factorization.

13664772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13664772000 in words is "thirteen billion, six hundred sixty-four million, seven hundred seventy-two thousand".