64125000000 has 560 divisors, whose sum is σ = 248046849600. Its totient is φ = 16200000000.

The previous prime is 64124999987. The next prime is 64125000011. The reversal of 64125000000 is 52146.

It is a happy number.

64125000000 is a `hidden beast` number, since 641 + 25 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

64125000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64125000000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 64125000000 = 500³ + 4000³ = 2250³ + 3750³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3374999991 + ... + 3375000009.

Almost surely, 2^64125000000 is an apocalyptic number.

64125000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124023424800).

64125000000 is an abundant number, since it is smaller than the sum of its proper divisors (183921849600).

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

64125000000 is an frugal number, since it uses more digits than its factorization.

64125000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 64125000000 its reverse (52146), we get a palindrome (64125052146).

It can be divided in two parts, 64 and 125000000, that multiplied together give a cube (8000000000 = 2000³).

The spelling of 64125000000 in words is "sixty-four billion, one hundred twenty-five million", and thus it is an aban number.