36137724480 has 672 divisors, whose sum is σ = 150965001600. Its totient is φ = 8083722240.

The previous prime is 36137724463. The next prime is 36137724487. The reversal of 36137724480 is 8442773163.

36137724480 is a `hidden beast` number, since 3 + 6 + 137 + 72 + 448 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36137724487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13589391 + ... + 13592049.

It is an arithmetic number, because the mean of its divisors is an integer number (224650300).

Almost surely, 2^36137724480 is an apocalyptic number.

36137724480 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 36137724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75482500800).

36137724480 is an abundant number, since it is smaller than the sum of its proper divisors (114827277120).

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

36137724480 is a wasteful number, since it uses less digits than its factorization.

36137724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 36137724480 in words is "thirty-six billion, one hundred thirty-seven million, seven hundred twenty-four thousand, four hundred eighty".