36504276480 has 960 divisors, whose sum is σ = 153143198208. Its totient is φ = 8161689600.

The previous prime is 36504276467. The next prime is 36504276481. The reversal of 36504276480 is 8467240563.

36504276480 is a `hidden beast` number, since 3 + 6 + 504 + 2 + 7 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36504276481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361428430 + ... + 361428530.

Almost surely, 2^36504276480 is an apocalyptic number.

36504276480 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 36504276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76571599104).

36504276480 is an abundant number, since it is smaller than the sum of its proper divisors (116638921728).

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

36504276480 is an equidigital number, since it uses as much as digits as its factorization.

36504276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 36504276480 in words is "thirty-six billion, five hundred four million, two hundred seventy-six thousand, four hundred eighty".