36748675296 has 384 divisors, whose sum is σ = 112870195200. Its totient is φ = 11623772160.

The previous prime is 36748675261. The next prime is 36748675319. The reversal of 36748675296 is 69257684763.

36748675296 is a `hidden beast` number, since 3 + 6 + 7 + 48 + 67 + 529 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289359585 + ... + 289359711.

It is an arithmetic number, because the mean of its divisors is an integer number (293932800).

Almost surely, 2^36748675296 is an apocalyptic number.

36748675296 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 36748675296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56435097600).

36748675296 is an abundant number, since it is smaller than the sum of its proper divisors (76121519904).

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

36748675296 is a wasteful number, since it uses less digits than its factorization.

36748675296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 36748675296 in words is "thirty-six billion, seven hundred forty-eight million, six hundred seventy-five thousand, two hundred ninety-six".