7545134268 has 288 divisors, whose sum is σ = 23985561600. Its totient is φ = 1993178880.

The previous prime is 7545134263. The next prime is 7545134269. The reversal of 7545134268 is 8624315457.

7545134268 is a `hidden beast` number, since 7 + 545 + 1 + 3 + 42 + 68 = 666.

It is a super-2 number, since 2×7545134268² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7545134263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8803696 + ... + 8804552.

It is an arithmetic number, because the mean of its divisors is an integer number (83283200).

Almost surely, 2^7545134268 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 7545134268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11992780800).

7545134268 is an abundant number, since it is smaller than the sum of its proper divisors (16440427332).

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

7545134268 is a wasteful number, since it uses less digits than its factorization.

7545134268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 923 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 7545134268 is about 86862.7323309600. The cubic root of 7545134268 is about 1961.3525188463.

The spelling of 7545134268 in words is "seven billion, five hundred forty-five million, one hundred thirty-four thousand, two hundred sixty-eight".