36193901669640 has 768 divisors, whose sum is σ = 147557145415680. Its totient is φ = 7567011809280.

The previous prime is 36193901669567. The next prime is 36193901669671. The reversal of 36193901669640 is 4696610939163.

36193901669640 is a `hidden beast` number, since 3 + 61 + 9 + 390 + 1 + 66 + 96 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50558277 + ... + 51269163.

It is an arithmetic number, because the mean of its divisors is an integer number (192131699760).

Almost surely, 2^{36193901669640} is an apocalyptic number.

36193901669640 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 36193901669640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73778572707840).

36193901669640 is an abundant number, since it is smaller than the sum of its proper divisors (111363243746040).

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

36193901669640 is a wasteful number, since it uses less digits than its factorization.

36193901669640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710994 (or 710987 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 36193901669640 in words is "thirty-six trillion, one hundred ninety-three billion, nine hundred one million, six hundred sixty-nine thousand, six hundred forty".