36060504480 has 1536 divisors, whose sum is σ = 175575859200. Its totient is φ = 6668697600.

The previous prime is 36060504463. The next prime is 36060504497. The reversal of 36060504480 is 8440506063.

36060504480 is a `hidden beast` number, since 3 + 6 + 0 + 605 + 0 + 4 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36060504463) and next prime (36060504497).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 134053786 + ... + 134054054.

It is an arithmetic number, because the mean of its divisors is an integer number (114307200).

Almost surely, 2^36060504480 is an apocalyptic number.

36060504480 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 36060504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87787929600).

36060504480 is an abundant number, since it is smaller than the sum of its proper divisors (139515354720).

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

36060504480 is a wasteful number, since it uses less digits than its factorization.

36060504480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36060504480 in words is "thirty-six billion, sixty million, five hundred four thousand, four hundred eighty".