64938025152 has 1008 divisors, whose sum is σ = 259980354816. Its totient is φ = 14963097600.

The previous prime is 64938025151. The next prime is 64938025153. The reversal of 64938025152 is 25152083946.

64938025152 is a `hidden beast` number, since 6 + 493 + 8 + 0 + 2 + 5 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (64938025151) and next prime (64938025153).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×64938025152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64938025098 and 64938025107.

It is not an unprimeable number, because it can be changed into a prime (64938025151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 969224223 + ... + 969224289.

Almost surely, 2^64938025152 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 64938025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129990177408).

64938025152 is an abundant number, since it is smaller than the sum of its proper divisors (195042329664).

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

64938025152 is a wasteful number, since it uses less digits than its factorization.

64938025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 64938025152 in words is "sixty-four billion, nine hundred thirty-eight million, twenty-five thousand, one hundred fifty-two".