36807405480 has 128 divisors (see below), whose sum is σ = 123273590400. Its totient is φ = 9768729600.

The previous prime is 36807405451. The next prime is 36807405527. The reversal of 36807405480 is 8450470863.

36807405480 is a `hidden beast` number, since 3 + 68 + 0 + 7 + 40 + 548 + 0 = 666.

It is a super-3 number, since 3×36807405480³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 147120 + ... + 308640.

It is an arithmetic number, because the mean of its divisors is an integer number (963074925).

Almost surely, 2^36807405480 is an apocalyptic number.

36807405480 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 36807405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61636795200).

36807405480 is an abundant number, since it is smaller than the sum of its proper divisors (86466184920).

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

36807405480 is a wasteful number, since it uses less digits than its factorization.

36807405480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161752 (or 161742 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 36807405480 in words is "thirty-six billion, eight hundred seven million, four hundred five thousand, four hundred eighty".