36074513631744 has 1760 divisors, whose sum is σ = 134862740660736. Its totient is φ = 9403699691520.

The previous prime is 36074513631719. The next prime is 36074513631809. The reversal of 36074513631744 is 44713631547063.

36074513631744 is a `hidden beast` number, since 3 + 6 + 0 + 74 + 513 + 6 + 3 + 17 + 44 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 133116286329 + ... + 133116286599.

Almost surely, 2^{36074513631744} is an apocalyptic number.

36074513631744 is a gapful number since it is divisible by the number (34) 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 36074513631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67431370330368).

36074513631744 is an abundant number, since it is smaller than the sum of its proper divisors (98788227028992).

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

36074513631744 is an frugal number, since it uses more digits than its factorization.

36074513631744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 36074513631744 in words is "thirty-six trillion, seventy-four billion, five hundred thirteen million, six hundred thirty-one thousand, seven hundred forty-four".