36814227840 has 768 divisors, whose sum is σ = 144086342400. Its totient is φ = 8928092160.

The previous prime is 36814227811. The next prime is 36814227881. The reversal of 36814227840 is 4872241863.

It is a happy number.

36814227840 is a `hidden beast` number, since 368 + 14 + 2 + 278 + 4 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264850491 + ... + 264850629.

It is an arithmetic number, because the mean of its divisors is an integer number (187612425).

Almost surely, 2^36814227840 is an apocalyptic number.

36814227840 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 36814227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72043171200).

36814227840 is an abundant number, since it is smaller than the sum of its proper divisors (107272114560).

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

36814227840 is a wasteful number, since it uses less digits than its factorization.

36814227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 36814227840 in words is "thirty-six billion, eight hundred fourteen million, two hundred twenty-seven thousand, eight hundred forty".