36483120960 has 224 divisors, whose sum is σ = 136085104512. Its totient is φ = 8164024320.

The previous prime is 36483120913. The next prime is 36483120967. The reversal of 36483120960 is 6902138463.

It is a super-2 number, since 2×36483120960² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36483120967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4402 + ... + 270158.

It is an arithmetic number, because the mean of its divisors is an integer number (607522788).

Almost surely, 2^36483120960 is an apocalyptic number.

36483120960 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 36483120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68042552256).

36483120960 is an abundant number, since it is smaller than the sum of its proper divisors (99601983552).

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

36483120960 is a wasteful number, since it uses less digits than its factorization.

36483120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265801 (or 265791 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 36483120960 in words is "thirty-six billion, four hundred eighty-three million, one hundred twenty thousand, nine hundred sixty".