7545820360 has 256 divisors, whose sum is σ = 20205158400. Its totient is φ = 2511129600.

The previous prime is 7545820349. The next prime is 7545820363. The reversal of 7545820360 is 630285457.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7545820363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21745707 + ... + 21746053.

It is an arithmetic number, because the mean of its divisors is an integer number (78926400).

Almost surely, 2^7545820360 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 7545820360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10102579200).

7545820360 is an abundant number, since it is smaller than the sum of its proper divisors (12659338040).

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

7545820360 is a wasteful number, since it uses less digits than its factorization.

7545820360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 7545820360 is about 86866.6815298017. The cubic root of 7545820360 is about 1961.4119667606.

The spelling of 7545820360 in words is "seven billion, five hundred forty-five million, eight hundred twenty thousand, three hundred sixty".