36445368960 has 2048 divisors, whose sum is σ = 180956160000. Its totient is φ = 6827950080.

The previous prime is 36445368959. The next prime is 36445368983. The reversal of 36445368960 is 6986354463.

36445368960 is a `hidden beast` number, since 3 + 6 + 44 + 536 + 8 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36445368897 and 36445368906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 847566699 + ... + 847566741.

It is an arithmetic number, because the mean of its divisors is an integer number (88357500).

Almost surely, 2^36445368960 is an apocalyptic number.

36445368960 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 36445368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080000).

36445368960 is an abundant number, since it is smaller than the sum of its proper divisors (144510791040).

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

36445368960 is a wasteful number, since it uses less digits than its factorization.

36445368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 36445368960 in words is "thirty-six billion, four hundred forty-five million, three hundred sixty-eight thousand, nine hundred sixty".