7540333140 has 72 divisors (see below), whose sum is σ = 21572080992. Its totient is φ = 1967938880.

The previous prime is 7540333109. The next prime is 7540333147. The reversal of 7540333140 is 413330457.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7540333098 and 7540333107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540333147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104095 + ... + 160985.

It is an arithmetic number, because the mean of its divisors is an integer number (299612236).

Almost surely, 2^7540333140 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 7540333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10786040496).

7540333140 is an abundant number, since it is smaller than the sum of its proper divisors (14031747852).

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

7540333140 is a wasteful number, since it uses less digits than its factorization.

7540333140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56997 (or 56948 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 7540333140 is about 86835.0916392676. The cubic root of 7540333140 is about 1960.9364139228.

Adding to 7540333140 its reverse (413330457), we get a palindrome (7953663597).

The spelling of 7540333140 in words is "seven billion, five hundred forty million, three hundred thirty-three thousand, one hundred forty".