36268591104 has 480 divisors, whose sum is σ = 117491774400. Its totient is φ = 11107860480.

The previous prime is 36268590931. The next prime is 36268591127. The reversal of 36268591104 is 40119586263.

36268591104 is a `hidden beast` number, since 3 + 626 + 8 + 5 + 9 + 1 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36268591104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116619109 + ... + 116619419.

It is an arithmetic number, because the mean of its divisors is an integer number (244774530).

Almost surely, 2^36268591104 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 36268591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58745887200).

36268591104 is an abundant number, since it is smaller than the sum of its proper divisors (81223183296).

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

36268591104 is a wasteful number, since it uses less digits than its factorization.

36268591104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 36268591104 in words is "thirty-six billion, two hundred sixty-eight million, five hundred ninety-one thousand, one hundred four".