36133772460 has 96 divisors (see below), whose sum is σ = 102027340800. Its totient is φ = 9554681088.

The previous prime is 36133772449. The next prime is 36133772491. The reversal of 36133772460 is 6427733163.

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 31 ways as a sum of consecutive naturals, for example, 5781057 + ... + 5787303.

It is an arithmetic number, because the mean of its divisors is an integer number (1062784800).

Almost surely, 2^36133772460 is an apocalyptic number.

36133772460 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 36133772460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51013670400).

36133772460 is an abundant number, since it is smaller than the sum of its proper divisors (65893568340).

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

36133772460 is a wasteful number, since it uses less digits than its factorization.

36133772460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 36133772460 in words is "thirty-six billion, one hundred thirty-three million, seven hundred seventy-two thousand, four hundred sixty".