7435791360 has 528 divisors, whose sum is σ = 28076652000. Its totient is φ = 1865908224.

The previous prime is 7435791331. The next prime is 7435791361. The reversal of 7435791360 is 631975347.

7435791360 is a `hidden beast` number, since 7 + 4 + 3 + 579 + 13 + 60 = 666.

It is a super-3 number, since 3×7435791360³ (a number of 31 digits) contains 333 as substring.

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 (7435791361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49904566 + ... + 49904714.

Almost surely, 2^7435791360 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 7435791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14038326000).

7435791360 is an abundant number, since it is smaller than the sum of its proper divisors (20640860640).

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

7435791360 is a wasteful number, since it uses less digits than its factorization.

7435791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 7435791360 is about 86231.0347844672. The cubic root of 7435791360 is about 1951.8318407500.

The spelling of 7435791360 in words is "seven billion, four hundred thirty-five million, seven hundred ninety-one thousand, three hundred sixty".