7543689675264 has 240 divisors, whose sum is σ = 22310319095064. Its totient is φ = 2452384972800.

The previous prime is 7543689675251. The next prime is 7543689675287. The reversal of 7543689675264 is 4625769863457.

It is a happy number.

7543689675264 is a `hidden beast` number, since 7 + 5 + 4 + 3 + 6 + 8 + 96 + 7 + 526 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2658882449664 + 4884807225600 = 1630608^2 + 2210160^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7543689675192 and 7543689675201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780834594 + ... + 780844254.

Almost surely, 2^{7543689675264} 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 7543689675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155159547532).

7543689675264 is an abundant number, since it is smaller than the sum of its proper divisors (14766629419800).

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

7543689675264 is a wasteful number, since it uses less digits than its factorization.

7543689675264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13859 (or 13840 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 7543689675264 in words is "seven trillion, five hundred forty-three billion, six hundred eighty-nine million, six hundred seventy-five thousand, two hundred sixty-four".