7605450720 has 1152 divisors, whose sum is σ = 34197811200. Its totient is φ = 1567641600.

The previous prime is 7605450679. The next prime is 7605450821. The reversal of 7605450720 is 270545067.

7605450720 is a `hidden beast` number, since 7 + 605 + 45 + 0 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124679490 + ... + 124679550.

It is an arithmetic number, because the mean of its divisors is an integer number (29685600).

Almost surely, 2^7605450720 is an apocalyptic number.

7605450720 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 7605450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17098905600).

7605450720 is an abundant number, since it is smaller than the sum of its proper divisors (26592360480).

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

7605450720 is a wasteful number, since it uses less digits than its factorization.

7605450720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 7605450720 is about 87209.2352907649. The cubic root of 7605450720 is about 1966.5650604725.

Adding to 7605450720 its reverse (270545067), we get a palindrome (7875995787).

The spelling of 7605450720 in words is "seven billion, six hundred five million, four hundred fifty thousand, seven hundred twenty".