36466485120 has 768 divisors, whose sum is σ = 149045158080. Its totient is φ = 8440381440.

The previous prime is 36466485109. The next prime is 36466485217. The reversal of 36466485120 is 2158466463.

36466485120 is a `hidden beast` number, since 3 + 6 + 46 + 6 + 485 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 34369390 + ... + 34370450.

Almost surely, 2^36466485120 is an apocalyptic number.

36466485120 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 36466485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74522579040).

36466485120 is an abundant number, since it is smaller than the sum of its proper divisors (112578672960).

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

36466485120 is a wasteful number, since it uses less digits than its factorization.

36466485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 36466485120 in words is "thirty-six billion, four hundred sixty-six million, four hundred eighty-five thousand, one hundred twenty".