36318352560 has 960 divisors, whose sum is σ = 149689466880. Its totient is φ = 7106641920.

The previous prime is 36318352559. The next prime is 36318352573. The reversal of 36318352560 is 6525381363.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285971217 + ... + 285971343.

It is an arithmetic number, because the mean of its divisors is an integer number (155926528).

Almost surely, 2^36318352560 is an apocalyptic number.

36318352560 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 36318352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74844733440).

36318352560 is an abundant number, since it is smaller than the sum of its proper divisors (113371114320).

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

36318352560 is a wasteful number, since it uses less digits than its factorization.

36318352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 36318352560 in words is "thirty-six billion, three hundred eighteen million, three hundred fifty-two thousand, five hundred sixty".