36450984960 has 440 divisors, whose sum is σ = 140688197496. Its totient is φ = 8971223040.

The previous prime is 36450984907. The next prime is 36450985007. The reversal of 36450984960 is 6948905463.

36450984960 is a `hidden beast` number, since 3 + 6 + 450 + 98 + 49 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2900468736 + 33550516224 = 53856^2 + 183168^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36450984897 and 36450984906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5387980 + ... + 5394740.

Almost surely, 2^36450984960 is an apocalyptic number.

36450984960 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 36450984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70344098748).

36450984960 is an abundant number, since it is smaller than the sum of its proper divisors (104237212536).

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

36450984960 is a wasteful number, since it uses less digits than its factorization.

36450984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6811 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 36450984960 in words is "thirty-six billion, four hundred fifty million, nine hundred eighty-four thousand, nine hundred sixty".