36484356120576 has 1344 divisors, whose sum is σ = 133933315998720. Its totient is φ = 8576701562880.

The previous prime is 36484356120533. The next prime is 36484356120581. The reversal of 36484356120576 is 67502165348463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×36484356120576² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12280158771 + ... + 12280161741.

It is an arithmetic number, because the mean of its divisors is an integer number (99652764880).

Almost surely, 2^{36484356120576} 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 36484356120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66966657999360).

36484356120576 is an abundant number, since it is smaller than the sum of its proper divisors (97448959878144).

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

36484356120576 is a wasteful number, since it uses less digits than its factorization.

36484356120576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 36484356120576 in words is "thirty-six trillion, four hundred eighty-four billion, three hundred fifty-six million, one hundred twenty thousand, five hundred seventy-six".