7513852493664 has 144 divisors (see below), whose sum is σ = 23705105336640. Its totient is φ = 2238332993280.

The previous prime is 7513852493663. The next prime is 7513852493677. The reversal of 7513852493664 is 4663942583157.

7513852493664 is a `hidden beast` number, since 7 + 5 + 1 + 3 + 85 + 2 + 493 + 6 + 64 = 666.

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

It is a super-2 number, since 2×7513852493664² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7513852493663) 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, 19913062 + ... + 20286885.

It is an arithmetic number, because the mean of its divisors is an integer number (164618787060).

Almost surely, 2^{7513852493664} is an apocalyptic number.

It is an amenable number.

7513852493664 is an abundant number, since it is smaller than the sum of its proper divisors (16191252842976).

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

7513852493664 is a wasteful number, since it uses less digits than its factorization.

7513852493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40200033 (or 40200022 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 7513852493664 in words is "seven trillion, five hundred thirteen billion, eight hundred fifty-two million, four hundred ninety-three thousand, six hundred sixty-four".