36509850720 has 432 divisors, whose sum is σ = 147168796320. Its totient is φ = 8073768960.

The previous prime is 36509850719. The next prime is 36509850721. The reversal of 36509850720 is 2705890563.

It is a happy number.

36509850720 is a `hidden beast` number, since 3 + 6 + 50 + 98 + 507 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36509850719) and next prime (36509850721).

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 (36509850721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9684996 + ... + 9688764.

It is an arithmetic number, because the mean of its divisors is an integer number (340668510).

Almost surely, 2^36509850720 is an apocalyptic number.

36509850720 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 36509850720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584398160).

36509850720 is an abundant number, since it is smaller than the sum of its proper divisors (110658945600).

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

36509850720 is a wasteful number, since it uses less digits than its factorization.

36509850720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 36509850720 in words is "thirty-six billion, five hundred nine million, eight hundred fifty thousand, seven hundred twenty".