36393779520 has 1792 divisors, whose sum is σ = 172755763200. Its totient is φ = 7094697984.

The previous prime is 36393779483. The next prime is 36393779533. The reversal of 36393779520 is 2597739363.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1582338229 + ... + 1582338251.

Almost surely, 2^36393779520 is an apocalyptic number.

36393779520 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 36393779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86377881600).

36393779520 is an abundant number, since it is smaller than the sum of its proper divisors (136361983680).

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

36393779520 is a wasteful number, since it uses less digits than its factorization.

36393779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 54.

The spelling of 36393779520 in words is "thirty-six billion, three hundred ninety-three million, seven hundred seventy-nine thousand, five hundred twenty".