36264848256 has 1440 divisors, whose sum is σ = 151180860600. Its totient is φ = 8527970304.

The previous prime is 36264848251. The next prime is 36264848287. The reversal of 36264848256 is 65284846263.

It is a happy number.

36264848256 is a `hidden beast` number, since 3 + 626 + 4 + 8 + 4 + 8 + 2 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36264848251) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1908676215 + ... + 1908676233.

Almost surely, 2^36264848256 is an apocalyptic number.

36264848256 is a gapful number since it is divisible by the number (36) 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 36264848256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75590430300).

36264848256 is an abundant number, since it is smaller than the sum of its proper divisors (114916012344).

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

36264848256 is a wasteful number, since it uses less digits than its factorization.

36264848256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 36264848256 in words is "thirty-six billion, two hundred sixty-four million, eight hundred forty-eight thousand, two hundred fifty-six".