64134225792 has 512 divisors, whose sum is σ = 245250432000. Its totient is φ = 16022790144.

The previous prime is 64134225791. The next prime is 64134225803. The reversal of 64134225792 is 29752243146.

64134225792 is a `hidden beast` number, since 6 + 41 + 34 + 2 + 2 + 579 + 2 = 666.

It is a super-2 number, since 2×64134225792² (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 (64134225791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5970058 + ... + 5980790.

It is an arithmetic number, because the mean of its divisors is an integer number (479004750).

Almost surely, 2^64134225792 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 64134225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122625216000).

64134225792 is an abundant number, since it is smaller than the sum of its proper divisors (181116206208).

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

64134225792 is a wasteful number, since it uses less digits than its factorization.

64134225792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10795 (or 10777 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 64134225792 in words is "sixty-four billion, one hundred thirty-four million, two hundred twenty-five thousand, seven hundred ninety-two".