63768875625 has 405 divisors, whose sum is σ = 149009661801. Its totient is φ = 26181792000.

The previous prime is 63768875623. The next prime is 63768875693. The reversal of 63768875625 is 52657886736.

It is a happy number.

The square root of 63768875625 is 252525.

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

63768875625 is a `hidden beast` number, since 6 + 3 + 7 + 68 + 8 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 60750911529 + 3017964096 = 246477^2 + 54936^2 .

It is not a de Polignac number, because 63768875625 - 2¹ = 63768875623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (101606400) is a multiple of the sum of its prime factors (140).

It is not an unprimeable number, because it can be changed into a prime (63768875623) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1723483107 + ... + 1723483143.

Almost surely, 2^63768875625 is an apocalyptic number.

63768875625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

63768875625 is the 252525-th square number.

63768875625 is the 126263-rd centered octagonal number.

It is an amenable number.

63768875625 is an abundant number, since it is smaller than the sum of its proper divisors (85240786176).

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

63768875625 is a wasteful number, since it uses less digits than its factorization.

63768875625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 63768875625 in words is "sixty-three billion, seven hundred sixty-eight million, eight hundred seventy-five thousand, six hundred twenty-five".