36548763305472 has 360 divisors, whose sum is σ = 115326266604120. Its totient is φ = 11050903142400.

The previous prime is 36548763305459. The next prime is 36548763305477. The reversal of 36548763305472 is 27450336784563.

36548763305472 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 87 + 6 + 3 + 3 + 0 + 547 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36548763305477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39342048304 + ... + 39342049232.

It is an arithmetic number, because the mean of its divisors is an integer number (320350740567).

Almost surely, 2^{36548763305472} is an apocalyptic number.

36548763305472 is a gapful number since it is divisible by the number (32) 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 36548763305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57663133302060).

36548763305472 is an abundant number, since it is smaller than the sum of its proper divisors (78777503298648).

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

36548763305472 is an frugal number, since it uses more digits than its factorization.

36548763305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 63.

The spelling of 36548763305472 in words is "thirty-six trillion, five hundred forty-eight billion, seven hundred sixty-three million, three hundred five thousand, four hundred seventy-two".