36413324640 has 576 divisors, whose sum is σ = 156920924160. Its totient is φ = 7468830720.

The previous prime is 36413324581. The next prime is 36413324659. The reversal of 36413324640 is 4642331463.

36413324640 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 3 + 3 + 2 + 4 + 640 = 666.

36413324640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36413324640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36413324595 and 36413324604.

It is a congruent number.

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, 8757442 + ... + 8761598.

It is an arithmetic number, because the mean of its divisors is an integer number (272432160).

Almost surely, 2^36413324640 is an apocalyptic number.

36413324640 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 36413324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78460462080).

36413324640 is an abundant number, since it is smaller than the sum of its proper divisors (120507599520).

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

36413324640 is a wasteful number, since it uses less digits than its factorization.

36413324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 36413324640 in words is "thirty-six billion, four hundred thirteen million, three hundred twenty-four thousand, six hundred forty".