64745201664 has 896 divisors, whose sum is σ = 237802521600. Its totient is φ = 17128488960.

The previous prime is 64745201663. The next prime is 64745201671. The reversal of 64745201664 is 46610254746.

64745201664 is a `hidden beast` number, since 64 + 7 + 4 + 520 + 1 + 6 + 64 = 666.

It is a super-2 number, since 2×64745201664² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64745201663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727474132 + ... + 727474220.

It is an arithmetic number, because the mean of its divisors is an integer number (265404600).

Almost surely, 2^64745201664 is an apocalyptic number.

64745201664 is a gapful number since it is divisible by the number (64) 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 64745201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118901260800).

64745201664 is an abundant number, since it is smaller than the sum of its proper divisors (173057319936).

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

64745201664 is a wasteful number, since it uses less digits than its factorization.

64745201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 64745201664 in words is "sixty-four billion, seven hundred forty-five million, two hundred one thousand, six hundred sixty-four".