64140627600 has 945 divisors, whose sum is σ = 272833336377. Its totient is φ = 14441898240.

The previous prime is 64140627563. The next prime is 64140627631. The reversal of 64140627600 is 672604146.

The square root of 64140627600 is 253260.

It is a perfect power (a square), and thus also a powerful number.

64140627600 is a `hidden beast` number, since 6 + 4 + 1 + 40 + 6 + 2 + 7 + 600 = 666.

64140627600 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 only one way, i.e., 23090625936 + 41050001664 = 151956^2 + 202608^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a super-2 number, since 2×64140627600² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 957322767 + ... + 957322833.

Almost surely, 2^64140627600 is an apocalyptic number.

64140627600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64140627600 is the 253260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64140627600

64140627600 is an abundant number, since it is smaller than the sum of its proper divisors (208692708777).

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

64140627600 is an equidigital number, since it uses as much as digits as its factorization.

64140627600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 84 counting only the distinct ones).

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

Multiplying 64140627600 by its sum of digits (36), we get a square (2309062593600 = 1519560²).

64140627600 divided by its sum of digits (36) gives a square (1781684100 = 42210²).

The spelling of 64140627600 in words is "sixty-four billion, one hundred forty million, six hundred twenty-seven thousand, six hundred".