7345535760 has 320 divisors, whose sum is σ = 26569728000. Its totient is φ = 1861719552.

The previous prime is 7345535723. The next prime is 7345535761. The reversal of 7345535760 is 675355437.

7345535760 is a `hidden beast` number, since 7 + 3 + 45 + 535 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7345535761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9885949 + ... + 9886691.

It is an arithmetic number, because the mean of its divisors is an integer number (83030400).

Almost surely, 2^7345535760 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 7345535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284864000).

7345535760 is an abundant number, since it is smaller than the sum of its proper divisors (19224192240).

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

7345535760 is a wasteful number, since it uses less digits than its factorization.

7345535760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The square root of 7345535760 is about 85706.1010663768. The cubic root of 7345535760 is about 1943.9025633225.

The spelling of 7345535760 in words is "seven billion, three hundred forty-five million, five hundred thirty-five thousand, seven hundred sixty".