7545877113320 has 256 divisors, whose sum is σ = 21839719910400. Its totient is φ = 2282021683200.

The previous prime is 7545877113311. The next prime is 7545877113403. The reversal of 7545877113320 is 233117785457.

It is a happy number.

It is a super-2 number, since 2×7545877113320² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9870845 + ... + 10607795.

It is an arithmetic number, because the mean of its divisors is an integer number (85311405900).

Almost surely, 2^{7545877113320} is an apocalyptic number.

7545877113320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7545877113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919859955200).

7545877113320 is an abundant number, since it is smaller than the sum of its proper divisors (14293842797080).

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

7545877113320 is a wasteful number, since it uses less digits than its factorization.

7545877113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737108 (or 737104 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 53.

The spelling of 7545877113320 in words is "seven trillion, five hundred forty-five billion, eight hundred seventy-seven million, one hundred thirteen thousand, three hundred twenty".