36474125688 has 960 divisors, whose sum is σ = 144952869600. Its totient is φ = 8413009920.

The previous prime is 36474125563. The next prime is 36474125773. The reversal of 36474125688 is 88652147463.

It is a happy number.

36474125688 is a `hidden beast` number, since 3 + 6 + 4 + 74 + 1 + 2 + 568 + 8 = 666.

It is a super-3 number, since 3×36474125688³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 131675406 + ... + 131675682.

Almost surely, 2^36474125688 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 36474125688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72476434800).

36474125688 is an abundant number, since it is smaller than the sum of its proper divisors (108478743912).

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

36474125688 is a wasteful number, since it uses less digits than its factorization.

36474125688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 36474125688 in words is "thirty-six billion, four hundred seventy-four million, one hundred twenty-five thousand, six hundred eighty-eight".