36490305600 has 1680 divisors, whose sum is σ = 169209110400. Its totient is φ = 7524679680.

The previous prime is 36490305587. The next prime is 36490305601. The reversal of 36490305600 is 650309463.

36490305600 is a `hidden beast` number, since 3 + 6 + 4 + 90 + 3 + 0 + 560 + 0 = 666.

36490305600 is digitally balanced in base 2, 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 (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36490305601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 499867164 + ... + 499867236.

Almost surely, 2^36490305600 is an apocalyptic number.

36490305600 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 36490305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84604555200).

36490305600 is an abundant number, since it is smaller than the sum of its proper divisors (132718804800).

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

36490305600 is a wasteful number, since it uses less digits than its factorization.

36490305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 36490305600 in words is "thirty-six billion, four hundred ninety million, three hundred five thousand, six hundred".