36608792270400 has 1155 divisors, whose sum is σ = 156992163562289. Its totient is φ = 8367723947520.

The previous prime is 36608792270389. The next prime is 36608792270473. The reversal of 36608792270400 is 407229780663.

The square root of 36608792270400 is 6050520.

It is a perfect power (a square), and thus also a powerful number.

36608792270400 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 8 + 7 + 9 + 227 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13179165217344 + 23429627053056 = 3630312^2 + 4840416^2 .

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

It is a Duffinian number.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 51450 × 14406 × 49392.

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 5229827467197 + ... + 5229827467203.

Almost surely, 2^{36608792270400} is an apocalyptic number.

36608792270400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36608792270400 is the 6050520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36608792270400

36608792270400 is an abundant number, since it is smaller than the sum of its proper divisors (120383371291889).

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

36608792270400 is an frugal number, since it uses more digits than its factorization.

36608792270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 36608792270400 in words is "thirty-six trillion, six hundred eight billion, seven hundred ninety-two million, two hundred seventy thousand, four hundred".