64314526752 has 288 divisors, whose sum is σ = 223289644032. Its totient is φ = 17140580352.

The previous prime is 64314526747. The next prime is 64314526753. The reversal of 64314526752 is 25762541346.

64314526752 is a `hidden beast` number, since 6 + 43 + 14 + 526 + 75 + 2 = 666.

64314526752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 junction number, because it is equal to n+sod(n) for n = 64314526698 and 64314526707.

It is not an unprimeable number, because it can be changed into a prime (64314526753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3864433 + ... + 3881039.

It is an arithmetic number, because the mean of its divisors is an integer number (775311264).

Almost surely, 2^64314526752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64314526752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111644822016).

64314526752 is an abundant number, since it is smaller than the sum of its proper divisors (158975117280).

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

64314526752 is a wasteful number, since it uses less digits than its factorization.

64314526752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16760 (or 16749 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 64314526752 in words is "sixty-four billion, three hundred fourteen million, five hundred twenty-six thousand, seven hundred fifty-two".