36074903145840 has 1200 divisors, whose sum is σ = 139671608712768. Its totient is φ = 8619413078016.

The previous prime is 36074903145793. The next prime is 36074903145857. The reversal of 36074903145840 is 4854130947063.

36074903145840 is a `hidden beast` number, since 3 + 6 + 0 + 7 + 49 + 0 + 3 + 14 + 584 + 0 = 666.

36074903145840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23379716109 + ... + 23379717651.

Almost surely, 2^{36074903145840} is an apocalyptic number.

36074903145840 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 36074903145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69835804356384).

36074903145840 is an abundant number, since it is smaller than the sum of its proper divisors (103596705566928).

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

36074903145840 is a wasteful number, since it uses less digits than its factorization.

36074903145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 36074903145840 in words is "thirty-six trillion, seventy-four billion, nine hundred three million, one hundred forty-five thousand, eight hundred forty".