36480487680 has 1728 divisors, whose sum is σ = 173564052480. Its totient is φ = 6851395584.

The previous prime is 36480487661. The next prime is 36480487691. The reversal of 36480487680 is 8678408463.

36480487680 is a `hidden beast` number, since 3 + 6 + 4 + 80 + 487 + 6 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 409893076 + ... + 409893164.

It is an arithmetic number, because the mean of its divisors is an integer number (100442160).

Almost surely, 2^36480487680 is an apocalyptic number.

36480487680 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 36480487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86782026240).

36480487680 is an abundant number, since it is smaller than the sum of its proper divisors (137083564800).

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

36480487680 is a wasteful number, since it uses less digits than its factorization.

36480487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 36480487680 in words is "thirty-six billion, four hundred eighty million, four hundred eighty-seven thousand, six hundred eighty".