36732450240 has 280 divisors, whose sum is σ = 132140218320. Its totient is φ = 9684652032.

The previous prime is 36732450221. The next prime is 36732450241. The reversal of 36732450240 is 4205423763.

36732450240 is a `hidden beast` number, since 367 + 3 + 2 + 4 + 50 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36732450195 and 36732450204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36732450241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2298919 + ... + 2314841.

Almost surely, 2^36732450240 is an apocalyptic number.

36732450240 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 36732450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66070109160).

36732450240 is an abundant number, since it is smaller than the sum of its proper divisors (95407768080).

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

36732450240 is a wasteful number, since it uses less digits than its factorization.

36732450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16041 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 36732450240 in words is "thirty-six billion, seven hundred thirty-two million, four hundred fifty thousand, two hundred forty".