36071125776 has 675 divisors, whose sum is σ = 132032700501. Its totient is φ = 9189282816.

The previous prime is 36071125771. The next prime is 36071125777. The reversal of 36071125776 is 67752117063.

The square root of 36071125776 is 189924.

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

36071125776 is a `hidden beast` number, since 3 + 6 + 0 + 71 + 1 + 2 + 577 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28083056400 + 7988069376 = 167580^2 + 89376^2 .

It is a super-2 number, since 2×36071125776² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36071125771) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1898480295 + ... + 1898480313.

Almost surely, 2^36071125776 is an apocalyptic number.

36071125776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36071125776 is the 189924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36071125776

36071125776 is an abundant number, since it is smaller than the sum of its proper divisors (95961574725).

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

36071125776 is a wasteful number, since it uses less digits than its factorization.

36071125776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 36071125776 in words is "thirty-six billion, seventy-one million, one hundred twenty-five thousand, seven hundred seventy-six".