7353539940864 has 960 divisors, whose sum is σ = 23301499858560. Its totient is φ = 2051266314240.

The previous prime is 7353539940863. The next prime is 7353539940869. The reversal of 7353539940864 is 4680499353537.

It is a junction number, because it is equal to n+sod(n) for n = 7353539940795 and 7353539940804.

It is not an unprimeable number, because it can be changed into a prime (7353539940863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17550214447 + ... + 17550214865.

It is an arithmetic number, because the mean of its divisors is an integer number (24272395686).

Almost surely, 2^{7353539940864} 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 7353539940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650749929280).

7353539940864 is an abundant number, since it is smaller than the sum of its proper divisors (15947959917696).

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

7353539940864 is a wasteful number, since it uses less digits than its factorization.

7353539940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 66.

The spelling of 7353539940864 in words is "seven trillion, three hundred fifty-three billion, five hundred thirty-nine million, nine hundred forty thousand, eight hundred sixty-four".