7405065360 has 1120 divisors, whose sum is σ = 34427296512. Its totient is φ = 1433272320.

The previous prime is 7405065347. The next prime is 7405065413. The reversal of 7405065360 is 635605047.

7405065360 is a `hidden beast` number, since 7 + 40 + 506 + 53 + 60 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 76340832 + ... + 76340928.

Almost surely, 2^7405065360 is an apocalyptic number.

7405065360 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 7405065360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213648256).

7405065360 is an abundant number, since it is smaller than the sum of its proper divisors (27022231152).

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

7405065360 is a wasteful number, since it uses less digits than its factorization.

7405065360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 7405065360 is about 86052.6894408304. The cubic root of 7405065360 is about 1949.1396915075.

The spelling of 7405065360 in words is "seven billion, four hundred five million, sixty-five thousand, three hundred sixty".