36850191840 has 1008 divisors, whose sum is σ = 164408850144. Its totient is φ = 7636654080.

The previous prime is 36850191809. The next prime is 36850191841. The reversal of 36850191840 is 4819105863.

36850191840 is a `hidden beast` number, since 3 + 68 + 501 + 9 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (36850191841) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 98793894 + ... + 98794266.

It is an arithmetic number, because the mean of its divisors is an integer number (163104018).

Almost surely, 2^36850191840 is an apocalyptic number.

36850191840 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 36850191840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82204425072).

36850191840 is an abundant number, since it is smaller than the sum of its proper divisors (127558658304).

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

36850191840 is a wasteful number, since it uses less digits than its factorization.

36850191840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 36850191840 in words is "thirty-six billion, eight hundred fifty million, one hundred ninety-one thousand, eight hundred forty".