7809543237136 has 45 divisors (see below), whose sum is σ = 15671390471373. Its totient is φ = 3769967826240.

The previous prime is 7809543237103. The next prime is 7809543237137. The reversal of 7809543237136 is 6317323459087.

The square root of 7809543237136 is 2794556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4095135038736 + 3714408198400 = 2023644^2 + 1927280^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7809543237137) 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 8 ways as a sum of consecutive naturals, for example, 324156451 + ... + 324180541.

It is a 1-persistent number, because it is pandigital, but 2⋅7809543237136 = 15619086474272 is not.

Almost surely, 2^{7809543237136} is an apocalyptic number.

7809543237136 is the 2794556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7809543237136

7809543237136 is an abundant number, since it is smaller than the sum of its proper divisors (7861847234237).

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

7809543237136 is an frugal number, since it uses more digits than its factorization.

7809543237136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48248 (or 24122 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 7809543237136 in words is "seven trillion, eight hundred nine billion, five hundred forty-three million, two hundred thirty-seven thousand, one hundred thirty-six".