36745870320 has 200 divisors, whose sum is σ = 127843982640. Its totient is φ = 9782000640.

The previous prime is 36745870319. The next prime is 36745870327. The reversal of 36745870320 is 2307854763.

36745870320 is a `hidden beast` number, since 3 + 67 + 4 + 587 + 0 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36745870327) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4006540 + ... + 4015700.

Almost surely, 2^36745870320 is an apocalyptic number.

36745870320 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 36745870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63921991320).

36745870320 is an abundant number, since it is smaller than the sum of its proper divisors (91098112320).

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

36745870320 is a wasteful number, since it uses less digits than its factorization.

36745870320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9805 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 36745870320 in words is "thirty-six billion, seven hundred forty-five million, eight hundred seventy thousand, three hundred twenty".