7267253657664 has 2016 divisors, whose sum is σ = 27802531948800. Its totient is φ = 1663093555200.

The previous prime is 7267253657581. The next prime is 7267253657707. The reversal of 7267253657664 is 4667563527627.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (533433600) is a multiple of the sum of its prime divisors (140).

It is a junction number, because it is equal to n+sod(n) for n = 7267253657595 and 7267253657604.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 99551419932 + ... + 99551420004.

Almost surely, 2^{7267253657664} 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 7267253657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13901265974400).

7267253657664 is an abundant number, since it is smaller than the sum of its proper divisors (20535278291136).

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

7267253657664 is a wasteful number, since it uses less digits than its factorization.

7267253657664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 140 counting only the distinct ones).

The product of its digits is 533433600, while the sum is 66.

The spelling of 7267253657664 in words is "seven trillion, two hundred sixty-seven billion, two hundred fifty-three million, six hundred fifty-seven thousand, six hundred sixty-four".