64067267200 has 48 divisors (see below), whose sum is σ = 158266178910. Its totient is φ = 25626905600.

The previous prime is 64067267179. The next prime is 64067267207. The reversal of 64067267200 is 276276046.

It is a happy number.

64067267200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 52778629696 + 11288637504 = 229736^2 + 106248^2 .

It is a super-2 number, since 2×64067267200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (64067267207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10007311 + ... + 10013710.

Almost surely, 2^64067267200 is an apocalyptic number.

It is an amenable number.

64067267200 is an abundant number, since it is smaller than the sum of its proper divisors (94198911710).

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

64067267200 is a wasteful number, since it uses less digits than its factorization.

64067267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20021045 (or 20021028 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 64067267200 in words is "sixty-four billion, sixty-seven million, two hundred sixty-seven thousand, two hundred".