7642254400 has 168 divisors, whose sum is σ = 20636179200. Its totient is φ = 2762496000.

The previous prime is 7642254397. The next prime is 7642254401. The reversal of 7642254400 is 44522467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642254401) 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 23 ways as a sum of consecutive naturals, for example, 3184401 + ... + 3186799.

It is an arithmetic number, because the mean of its divisors is an integer number (122834400).

Almost surely, 2^7642254400 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 7642254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318089600).

7642254400 is an abundant number, since it is smaller than the sum of its proper divisors (12993924800).

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

7642254400 is a wasteful number, since it uses less digits than its factorization.

7642254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 7642254400 is about 87419.9885609693. The cubic root of 7642254400 is about 1969.7321047413.

Adding to 7642254400 its reverse (44522467), we get a palindrome (7686776867).

The spelling of 7642254400 in words is "seven billion, six hundred forty-two million, two hundred fifty-four thousand, four hundred".