7386728564736 has 144 divisors (see below), whose sum is σ = 21377705010480. Its totient is φ = 2457225093120.

The previous prime is 7386728564731. The next prime is 7386728564737. The reversal of 7386728564736 is 6374658276837.

It is a happy number.

7386728564736 is a `hidden beast` number, since 7 + 3 + 8 + 6 + 7 + 28 + 564 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7386728564731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8642011 + ... + 9458213.

It is an arithmetic number, because the mean of its divisors is an integer number (148456284795).

Almost surely, 2^{7386728564736} 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 7386728564736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10688852505240).

7386728564736 is an abundant number, since it is smaller than the sum of its proper divisors (13990976445744).

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

7386728564736 is a wasteful number, since it uses less digits than its factorization.

7386728564736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816722 (or 816699 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 7386728564736 in words is "seven trillion, three hundred eighty-six billion, seven hundred twenty-eight million, five hundred sixty-four thousand, seven hundred thirty-six".