36003646336896 has 256 divisors, whose sum is σ = 123104450188800. Its totient is φ = 10145841131520.

The previous prime is 36003646336843. The next prime is 36003646336897. The reversal of 36003646336896 is 69863364630063.

36003646336896 is a `hidden beast` number, since 3 + 60 + 0 + 3 + 6 + 463 + 36 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36003646336897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8427450 + ... + 11959481.

It is an arithmetic number, because the mean of its divisors is an integer number (480876758550).

Almost surely, 2^{36003646336896} is an apocalyptic number.

36003646336896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36003646336896 is an abundant number, since it is smaller than the sum of its proper divisors (87100803851904).

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

36003646336896 is a wasteful number, since it uses less digits than its factorization.

36003646336896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20387034 (or 20387016 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 63.

The spelling of 36003646336896 in words is "thirty-six trillion, three billion, six hundred forty-six million, three hundred thirty-six thousand, eight hundred ninety-six".