7534213340 has 144 divisors (see below), whose sum is σ = 18003928320. Its totient is φ = 2633379840.

The previous prime is 7534213333. The next prime is 7534213343. The reversal of 7534213340 is 433124357.

It is a super-3 number, since 3×7534213340³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7534213297 and 7534213306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7534213343) 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, 47988542 + ... + 47988698.

It is an arithmetic number, because the mean of its divisors is an integer number (125027280).

Almost surely, 2^7534213340 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 7534213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9001964160).

7534213340 is an abundant number, since it is smaller than the sum of its proper divisors (10469714980).

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

7534213340 is a wasteful number, since it uses less digits than its factorization.

7534213340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 7534213340 is about 86799.8464284356. The cubic root of 7534213340 is about 1960.4057659842.

Adding to 7534213340 its reverse (433124357), we get a palindrome (7967337697).

The spelling of 7534213340 in words is "seven billion, five hundred thirty-four million, two hundred thirteen thousand, three hundred forty".