64125047250 has 320 divisors, whose sum is σ = 196358722560. Its totient is φ = 15487200000.

The previous prime is 64125047221. The next prime is 64125047269. The reversal of 64125047250 is 5274052146.

It is a happy number.

64125047250 is a `hidden beast` number, since 64 + 125 + 0 + 472 + 5 + 0 = 666.

It is a super-2 number, since 2×64125047250² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 106696950 + ... + 106697550.

It is an arithmetic number, because the mean of its divisors is an integer number (613621008).

Almost surely, 2^64125047250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64125047250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98179361280).

64125047250 is an abundant number, since it is smaller than the sum of its proper divisors (132233675310).

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

64125047250 is a wasteful number, since it uses less digits than its factorization.

64125047250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 64125047250 its reverse (5274052146), we get a palindrome (69399099396).

The spelling of 64125047250 in words is "sixty-four billion, one hundred twenty-five million, forty-seven thousand, two hundred fifty".