36873068544 has 672 divisors, whose sum is σ = 127092236544. Its totient is φ = 10192158720.

The previous prime is 36873068543. The next prime is 36873068593. The reversal of 36873068544 is 44586037863.

36873068544 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 30 + 68 + 544 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36873068543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505110492 + ... + 505110564.

It is an arithmetic number, because the mean of its divisors is an integer number (189125352).

Almost surely, 2^36873068544 is an apocalyptic number.

36873068544 is a gapful number since it is divisible by the number (34) 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 36873068544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63546118272).

36873068544 is an abundant number, since it is smaller than the sum of its proper divisors (90219168000).

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

36873068544 is a wasteful number, since it uses less digits than its factorization.

36873068544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 36873068544 in words is "thirty-six billion, eight hundred seventy-three million, sixty-eight thousand, five hundred forty-four".