36388638720 has 1248 divisors, whose sum is σ = 161356147200. Its totient is φ = 7729053696.

The previous prime is 36388638697. The next prime is 36388638739. The reversal of 36388638720 is 2783688363.

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

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 95 ways as a sum of consecutive naturals, for example, 460615641 + ... + 460615719.

Almost surely, 2^36388638720 is an apocalyptic number.

36388638720 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 36388638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80678073600).

36388638720 is an abundant number, since it is smaller than the sum of its proper divisors (124967508480).

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

36388638720 is a wasteful number, since it uses less digits than its factorization.

36388638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 36388638720 in words is "thirty-six billion, three hundred eighty-eight million, six hundred thirty-eight thousand, seven hundred twenty".