36527094374400 has 1764 divisors, whose sum is σ = 158015132890362. Its totient is φ = 8347377991680.

The previous prime is 36527094374371. The next prime is 36527094374413. The reversal of 36527094374400 is 447349072563.

It is a happy number.

36527094374400 is a `hidden beast` number, since 3 + 6 + 52 + 70 + 94 + 37 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24475421085696 + 12051673288704 = 4947264^2 + 3471552^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 7315658304 + ... + 7315663296.

Almost surely, 2^{36527094374400} is an apocalyptic number.

36527094374400 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 36527094374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79007566445181).

36527094374400 is an abundant number, since it is smaller than the sum of its proper divisors (121488038515962).

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

36527094374400 is an frugal number, since it uses more digits than its factorization.

36527094374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 36527094374400 in words is "thirty-six trillion, five hundred twenty-seven billion, ninety-four million, three hundred seventy-four thousand, four hundred".