36064046266560 has 1792 divisors, whose sum is σ = 146556813312000. Its totient is φ = 8275176898560.

The previous prime is 36064046266543. The next prime is 36064046266571. The reversal of 36064046266560 is 6566264046063.

36064046266560 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 4 + 0 + 4 + 626 + 6 + 5 + 6 + 0 = 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 = 36064046266497 and 36064046266506.

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, 41983755411 + ... + 41983756269.

It is an arithmetic number, because the mean of its divisors is an integer number (81783936000).

Almost surely, 2^{36064046266560} is an apocalyptic number.

36064046266560 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 36064046266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73278406656000).

36064046266560 is an abundant number, since it is smaller than the sum of its proper divisors (110492767045440).

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

36064046266560 is a wasteful number, since it uses less digits than its factorization.

36064046266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 36064046266560 in words is "thirty-six trillion, sixty-four billion, forty-six million, two hundred sixty-six thousand, five hundred sixty".