36329328481824 has 1536 divisors, whose sum is σ = 134964910080000. Its totient is φ = 9469245026304.

The previous prime is 36329328481813. The next prime is 36329328481877. The reversal of 36329328481824 is 42818482392363.

36329328481824 is a `hidden beast` number, since 3 + 6 + 329 + 3 + 284 + 8 + 1 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 21458551122 + ... + 21458552814.

It is an arithmetic number, because the mean of its divisors is an integer number (87867780000).

Almost surely, 2^{36329328481824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36329328481824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67482455040000).

36329328481824 is an abundant number, since it is smaller than the sum of its proper divisors (98635581598176).

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

36329328481824 is a wasteful number, since it uses less digits than its factorization.

36329328481824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1864 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 36329328481824 in words is "thirty-six trillion, three hundred twenty-nine billion, three hundred twenty-eight million, four hundred eighty-one thousand, eight hundred twenty-four".