36401109696 has 280 divisors, whose sum is σ = 124529250560. Its totient is φ = 10298285568.

The previous prime is 36401109659. The next prime is 36401109707. The reversal of 36401109696 is 69690110463.

36401109696 is a `hidden beast` number, since 364 + 0 + 110 + 96 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3732795 + ... + 3742533.

Almost surely, 2^36401109696 is an apocalyptic number.

36401109696 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 36401109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62264625280).

36401109696 is an abundant number, since it is smaller than the sum of its proper divisors (88128140864).

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

36401109696 is a wasteful number, since it uses less digits than its factorization.

36401109696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9873 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 36401109696 in words is "thirty-six billion, four hundred one million, one hundred nine thousand, six hundred ninety-six".