36758071152 has 360 divisors, whose sum is σ = 117502729344. Its totient is φ = 10711008000.

The previous prime is 36758071117. The next prime is 36758071201. The reversal of 36758071152 is 25117085763.

It is a happy number.

36758071152 is a `hidden beast` number, since 3 + 6 + 7 + 580 + 7 + 11 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36758071098 and 36758071107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53195127 + ... + 53195817.

Almost surely, 2^36758071152 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 36758071152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58751364672).

36758071152 is an abundant number, since it is smaller than the sum of its proper divisors (80744658192).

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

36758071152 is a wasteful number, since it uses less digits than its factorization.

36758071152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 36758071152 in words is "thirty-six billion, seven hundred fifty-eight million, seventy-one thousand, one hundred fifty-two".