36294730560 has 896 divisors, whose sum is σ = 146818990080. Its totient is φ = 8360755200.

The previous prime is 36294730547. The next prime is 36294730579. The reversal of 36294730560 is 6503749263.

36294730560 is a `hidden beast` number, since 36 + 29 + 4 + 7 + 30 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 285785217 + ... + 285785343.

It is an arithmetic number, because the mean of its divisors is an integer number (163860480).

Almost surely, 2^36294730560 is an apocalyptic number.

36294730560 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 36294730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73409495040).

36294730560 is an abundant number, since it is smaller than the sum of its proper divisors (110524259520).

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

36294730560 is a wasteful number, since it uses less digits than its factorization.

36294730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 36294730560 in words is "thirty-six billion, two hundred ninety-four million, seven hundred thirty thousand, five hundred sixty".