36084272162400 has 648 divisors, whose sum is σ = 161472449023704. Its totient is φ = 7498029772800.

The previous prime is 36084272162377. The next prime is 36084272162459. The reversal of 36084272162400 is 426127248063.

It is a happy number.

36084272162400 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 4 + 27 + 216 + 2 + 400 = 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 107 ways as a sum of consecutive naturals, for example, 768277 + ... + 8529876.

It is an arithmetic number, because the mean of its divisors is an integer number (249185878123).

Almost surely, 2^{36084272162400} is an apocalyptic number.

36084272162400 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 36084272162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80736224511852).

36084272162400 is an abundant number, since it is smaller than the sum of its proper divisors (125388176861304).

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

36084272162400 is a wasteful number, since it uses less digits than its factorization.

36084272162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9298204 (or 9298181 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 36084272162400 in words is "thirty-six trillion, eighty-four billion, two hundred seventy-two million, one hundred sixty-two thousand, four hundred".