36076078080 has 1320 divisors, whose sum is σ = 160596287808. Its totient is φ = 7580418048.

The previous prime is 36076078067. The next prime is 36076078099. The reversal of 36076078080 is 8087067063.

36076078080 is a `hidden beast` number, since 36 + 0 + 7 + 607 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 838978539 + ... + 838978581.

Almost surely, 2^36076078080 is an apocalyptic number.

36076078080 is a gapful number since it is divisible by the number (30) 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 36076078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80298143904).

36076078080 is an abundant number, since it is smaller than the sum of its proper divisors (124520209728).

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

36076078080 is a wasteful number, since it uses less digits than its factorization.

36076078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 36076078080 in words is "thirty-six billion, seventy-six million, seventy-eight thousand, eighty".