36565964198400 has 1920 divisors, whose sum is σ = 152458162053120. Its totient is φ = 7520338575360.

The previous prime is 36565964198369. The next prime is 36565964198459. The reversal of 36565964198400 is 489146956563.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33151372249 + ... + 33151373351.

It is an arithmetic number, because the mean of its divisors is an integer number (79405292736).

Almost surely, 2^{36565964198400} is an apocalyptic number.

36565964198400 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 36565964198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76229081026560).

36565964198400 is an abundant number, since it is smaller than the sum of its proper divisors (115892197854720).

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

36565964198400 is a wasteful number, since it uses less digits than its factorization.

36565964198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 66.

The spelling of 36565964198400 in words is "thirty-six trillion, five hundred sixty-five billion, nine hundred sixty-four million, one hundred ninety-eight thousand, four hundred".