36735000480 has 144 divisors (see below), whose sum is σ = 125672778504. Its totient is φ = 9771417600.

The previous prime is 36735000479. The next prime is 36735000563. The reversal of 36735000480 is 8400053763.

It is a happy number.

36735000480 is a `hidden beast` number, since 3 + 6 + 73 + 500 + 0 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36445864464 + 289136016 = 190908^2 + 17004^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 545632 + ... + 609248.

Almost surely, 2^36735000480 is an apocalyptic number.

36735000480 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 36735000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62836389252).

36735000480 is an abundant number, since it is smaller than the sum of its proper divisors (88937778024).

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

36735000480 is a wasteful number, since it uses less digits than its factorization.

36735000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64039 (or 64028 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 36735000480 in words is "thirty-six billion, seven hundred thirty-five million, four hundred eighty", and thus it is an aban number.