36906565248 has 640 divisors, whose sum is σ = 131042419200. Its totient is φ = 10092625920.

The previous prime is 36906565247. The next prime is 36906565271. The reversal of 36906565248 is 84256560963.

36906565248 is a `hidden beast` number, since 3 + 69 + 0 + 6 + 56 + 524 + 8 = 666.

36906565248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 36906565194 and 36906565203.

It is not an unprimeable number, because it can be changed into a prime (36906565247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 235073586 + ... + 235073742.

It is an arithmetic number, because the mean of its divisors is an integer number (204753780).

Almost surely, 2^36906565248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36906565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65521209600).

36906565248 is an abundant number, since it is smaller than the sum of its proper divisors (94135853952).

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

36906565248 is a wasteful number, since it uses less digits than its factorization.

36906565248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 36906565248 in words is "thirty-six billion, nine hundred six million, five hundred sixty-five thousand, two hundred forty-eight".