36820472832 has 704 divisors, whose sum is σ = 130955596800. Its totient is φ = 10072719360.

The previous prime is 36820472743. The next prime is 36820472867. The reversal of 36820472832 is 23827402863.

36820472832 is a `hidden beast` number, since 368 + 2 + 0 + 4 + 7 + 283 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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, 264895419 + ... + 264895557.

Almost surely, 2^36820472832 is an apocalyptic number.

36820472832 is a gapful number since it is divisible by the number (32) 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 36820472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65477798400).

36820472832 is an abundant number, since it is smaller than the sum of its proper divisors (94135123968).

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

36820472832 is a wasteful number, since it uses less digits than its factorization.

36820472832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 36820472832 in words is "thirty-six billion, eight hundred twenty million, four hundred seventy-two thousand, eight hundred thirty-two".