36743521140 has 144 divisors (see below), whose sum is σ = 112135055760. Its totient is φ = 9738731520.

The previous prime is 36743521123. The next prime is 36743521147. The reversal of 36743521140 is 4112534763.

36743521140 is a `hidden beast` number, since 3 + 6 + 7 + 435 + 211 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10732176 + 36732788964 = 3276^2 + 191658^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36743521095 and 36743521104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36743521147) 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, 24809200 + ... + 24810680.

It is an arithmetic number, because the mean of its divisors is an integer number (778715665).

Almost surely, 2^36743521140 is an apocalyptic number.

36743521140 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 36743521140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56067527880).

36743521140 is an abundant number, since it is smaller than the sum of its proper divisors (75391534620).

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

36743521140 is a wasteful number, since it uses less digits than its factorization.

36743521140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 36743521140 in words is "thirty-six billion, seven hundred forty-three million, five hundred twenty-one thousand, one hundred forty".