7493591040 has 224 divisors, whose sum is σ = 25827996096. Its totient is φ = 1844183040.

The previous prime is 7493591011. The next prime is 7493591047. The reversal of 7493591040 is 401953947.

It is a junction number, because it is equal to n+sod(n) for n = 7493590983 and 7493591001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7493591047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1595095 + ... + 1599785.

It is an arithmetic number, because the mean of its divisors is an integer number (115303554).

Almost surely, 2^7493591040 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 7493591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913998048).

7493591040 is an abundant number, since it is smaller than the sum of its proper divisors (18334405056).

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

7493591040 is a wasteful number, since it uses less digits than its factorization.

7493591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 7493591040 is about 86565.5303224095. The cubic root of 7493591040 is about 1956.8761010226.

The spelling of 7493591040 in words is "seven billion, four hundred ninety-three million, five hundred ninety-one thousand, forty".