36246726468900 has 288 divisors, whose sum is σ = 117316535705600. Its totient is φ = 9600460329600.

The previous prime is 36246726468859. The next prime is 36246726468913. The reversal of 36246726468900 is 986462764263.

36246726468900 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 67 + 26 + 468 + 90 + 0 = 666.

36246726468900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36246726468900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264253335 + ... + 264390465.

Almost surely, 2^{36246726468900} is an apocalyptic number.

36246726468900 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 36246726468900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58658267852800).

36246726468900 is an abundant number, since it is smaller than the sum of its proper divisors (81069809236700).

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

36246726468900 is a wasteful number, since it uses less digits than its factorization.

36246726468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137816 (or 137803 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 36246726468900 in words is "thirty-six trillion, two hundred forty-six billion, seven hundred twenty-six million, four hundred sixty-eight thousand, nine hundred".