36437072066304 has 288 divisors, whose sum is σ = 121136198131200. Its totient is φ = 9466346520576.

The previous prime is 36437072066299. The next prime is 36437072066309. The reversal of 36437072066304 is 40366027073463.

It is an interprime number because it is at equal distance from previous prime (36437072066299) and next prime (36437072066309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36437072066309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791722 + ... + 8573270.

Almost surely, 2^{36437072066304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36437072066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60568099065600).

36437072066304 is an abundant number, since it is smaller than the sum of its proper divisors (84699126064896).

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

36437072066304 is a wasteful number, since it uses less digits than its factorization.

36437072066304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7781655 (or 7781641 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 51.

The spelling of 36437072066304 in words is "thirty-six trillion, four hundred thirty-seven billion, seventy-two million, sixty-six thousand, three hundred four".