36873584640 has 300 divisors, whose sum is σ = 132218383836. Its totient is φ = 9831186432.

The previous prime is 36873584633. The next prime is 36873584641. The reversal of 36873584640 is 4648537863.

36873584640 is a `hidden beast` number, since 3 + 68 + 73 + 58 + 464 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25640976384 + 11232608256 = 160128^2 + 105984^2 .

It is a super-2 number, since 2×36873584640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36873584641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6632742 + ... + 6638298.

Almost surely, 2^36873584640 is an apocalyptic number.

36873584640 is a gapful number since it is divisible by the number (30) 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 36873584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66109191918).

36873584640 is an abundant number, since it is smaller than the sum of its proper divisors (95344799196).

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

36873584640 is an frugal number, since it uses more digits than its factorization.

36873584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5567 counting only the distinct ones).

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

The spelling of 36873584640 in words is "thirty-six billion, eight hundred seventy-three million, five hundred eighty-four thousand, six hundred forty".