7536611365956 has 288 divisors, whose sum is σ = 20171471523840. Its totient is φ = 2369287065600.

The previous prime is 7536611365937. The next prime is 7536611365973. The reversal of 7536611365956 is 6595631166357.

7536611365956 is a `hidden beast` number, since 7 + 5 + 3 + 6 + 6 + 1 + 1 + 36 + 595 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7536611365893 and 7536611365902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7469386380 + ... + 7469387388.

It is an arithmetic number, because the mean of its divisors is an integer number (70039831680).

Almost surely, 2^{7536611365956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7536611365956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10085735761920).

7536611365956 is an abundant number, since it is smaller than the sum of its proper divisors (12634860157884).

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

7536611365956 is a wasteful number, since it uses less digits than its factorization.

7536611365956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1822 counting only the distinct ones).

The product of its digits is 91854000, while the sum is 63.

The spelling of 7536611365956 in words is "seven trillion, five hundred thirty-six billion, six hundred eleven million, three hundred sixty-five thousand, nine hundred fifty-six".