64201662720 has 1440 divisors, whose sum is σ = 274232851200. Its totient is φ = 14189395968.

The previous prime is 64201662709. The next prime is 64201662751. The reversal of 64201662720 is 2726610246.

64201662720 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 1 + 6 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 589006026 + ... + 589006134.

It is an arithmetic number, because the mean of its divisors is an integer number (190439480).

Almost surely, 2^64201662720 is an apocalyptic number.

64201662720 is a gapful number since it is divisible by the number (60) 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 64201662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137116425600).

64201662720 is an abundant number, since it is smaller than the sum of its proper divisors (210031188480).

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

64201662720 is a wasteful number, since it uses less digits than its factorization.

64201662720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 64201662720 in words is "sixty-four billion, two hundred one million, six hundred sixty-two thousand, seven hundred twenty".