36289337472 has 160 divisors (see below), whose sum is σ = 110631836700. Its totient is φ = 11801272320.

The previous prime is 36289337467. The next prime is 36289337473. The reversal of 36289337472 is 27473398263.

36289337472 is a `hidden beast` number, since 3 + 62 + 89 + 3 + 37 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23233075776 + 13056261696 = 152424^2 + 114264^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36289337473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 382404 + ... + 467772.

Almost surely, 2^36289337472 is an apocalyptic number.

36289337472 is a gapful number since it is divisible by the number (32) 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 36289337472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55315918350).

36289337472 is an abundant number, since it is smaller than the sum of its proper divisors (74342499228).

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

36289337472 is an equidigital number, since it uses as much as digits as its factorization.

36289337472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85436 (or 85415 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 36289337472 in words is "thirty-six billion, two hundred eighty-nine million, three hundred thirty-seven thousand, four hundred seventy-two".