36504714240 has 264 divisors, whose sum is σ = 126942133968. Its totient is φ = 9699655680.

The previous prime is 36504714199. The next prime is 36504714241. The reversal of 36504714240 is 4241740563.

36504714240 is a `hidden beast` number, since 3 + 6 + 504 + 7 + 142 + 4 + 0 = 666.

36504714240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 36504714195 and 36504714204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36504714241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14421775 + ... + 14424305.

Almost surely, 2^36504714240 is an apocalyptic number.

36504714240 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 36504714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63471066984).

36504714240 is an abundant number, since it is smaller than the sum of its proper divisors (90437419728).

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

36504714240 is a wasteful number, since it uses less digits than its factorization.

36504714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 36504714240 in words is "thirty-six billion, five hundred four million, seven hundred fourteen thousand, two hundred forty".