7536066830400 has 168 divisors, whose sum is σ = 24737103911520. Its totient is φ = 2008599818240.

The previous prime is 7536066830387. The next prime is 7536066830401. The reversal of 7536066830400 is 40386606357.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7536066830400.

It is not an unprimeable number, because it can be changed into a prime (7536066830401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9102532 + ... + 9895868.

It is an arithmetic number, because the mean of its divisors is an integer number (147244666140).

Almost surely, 2^{7536066830400} 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 7536066830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368551955760).

7536066830400 is an abundant number, since it is smaller than the sum of its proper divisors (17201037081120).

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

7536066830400 is a wasteful number, since it uses less digits than its factorization.

7536066830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795341 (or 795326 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 7536066830400 in words is "seven trillion, five hundred thirty-six billion, sixty-six million, eight hundred thirty thousand, four hundred".