36640349856 has 144 divisors (see below), whose sum is σ = 114772956480. Its totient is φ = 10995240960.

The previous prime is 36640349843. The next prime is 36640349897. The reversal of 36640349856 is 65894304663.

36640349856 is a `hidden beast` number, since 3 + 66 + 40 + 3 + 498 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270160 + ... + 382448.

It is an arithmetic number, because the mean of its divisors is an integer number (797034420).

Almost surely, 2^36640349856 is an apocalyptic number.

36640349856 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 36640349856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57386478240).

36640349856 is an abundant number, since it is smaller than the sum of its proper divisors (78132606624).

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

36640349856 is a wasteful number, since it uses less digits than its factorization.

36640349856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112419 (or 112408 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 36640349856 in words is "thirty-six billion, six hundred forty million, three hundred forty-nine thousand, eight hundred fifty-six".