36448464084480 has 4480 divisors, whose sum is σ = 166937258188800. Its totient is φ = 7445754150912.

The previous prime is 36448464084421. The next prime is 36448464084493. The reversal of 36448464084480 is 8448046484463.

36448464084480 is a `hidden beast` number, since 36 + 4 + 4 + 8 + 4 + 6 + 40 + 84 + 480 = 666.

36448464084480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-4 number, since 4×36448464084480⁴ (a number of 55 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 409533304276 + ... + 409533304364.

Almost surely, 2^{36448464084480} is an apocalyptic number.

36448464084480 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 36448464084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83468629094400).

36448464084480 is an abundant number, since it is smaller than the sum of its proper divisors (130488794104320).

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

36448464084480 is an equidigital number, since it uses as much as digits as its factorization.

36448464084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 226492416, while the sum is 63.

The spelling of 36448464084480 in words is "thirty-six trillion, four hundred forty-eight billion, four hundred sixty-four million, eighty-four thousand, four hundred eighty".