36240765275904 has 1152 divisors, whose sum is σ = 124364598607872. Its totient is φ = 9129732341760.

The previous prime is 36240765275893. The next prime is 36240765275929. The reversal of 36240765275904 is 40957256704263.

36240765275904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 23795642887 + ... + 23795644409.

It is an arithmetic number, because the mean of its divisors is an integer number (107955380736).

Almost surely, 2^{36240765275904} is an apocalyptic number.

36240765275904 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 36240765275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62182299303936).

36240765275904 is an abundant number, since it is smaller than the sum of its proper divisors (88123833331968).

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

36240765275904 is a wasteful number, since it uses less digits than its factorization.

36240765275904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 36240765275904 in words is "thirty-six trillion, two hundred forty billion, seven hundred sixty-five million, two hundred seventy-five thousand, nine hundred four".