36315206928 has 1440 divisors, whose sum is σ = 152142262272. Its totient is φ = 8230118400.

The previous prime is 36315206869. The next prime is 36315206951. The reversal of 36315206928 is 82960251363.

36315206928 is a `hidden beast` number, since 3 + 6 + 31 + 520 + 6 + 92 + 8 = 666.

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 287 ways as a sum of consecutive naturals, for example, 844539675 + ... + 844539717.

Almost surely, 2^36315206928 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 36315206928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76071131136).

36315206928 is an abundant number, since it is smaller than the sum of its proper divisors (115827055344).

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

36315206928 is a wasteful number, since it uses less digits than its factorization.

36315206928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 36315206928 in words is "thirty-six billion, three hundred fifteen million, two hundred six thousand, nine hundred twenty-eight".