36075074976 has 480 divisors, whose sum is σ = 114759203328. Its totient is φ = 11095418880.

The previous prime is 36075074939. The next prime is 36075074977. The reversal of 36075074976 is 67947057063.

36075074976 is a `hidden beast` number, since 3 + 60 + 7 + 507 + 4 + 9 + 76 = 666.

36075074976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36075074976² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36075074977) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183122110 + ... + 183122306.

Almost surely, 2^36075074976 is an apocalyptic number.

36075074976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36075074976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57379601664).

36075074976 is an abundant number, since it is smaller than the sum of its proper divisors (78684128352).

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

36075074976 is a wasteful number, since it uses less digits than its factorization.

36075074976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 36075074976 in words is "thirty-six billion, seventy-five million, seventy-four thousand, nine hundred seventy-six".