7542400320 has 896 divisors, whose sum is σ = 33550433280. Its totient is φ = 1552711680.

The previous prime is 7542400289. The next prime is 7542400343. The reversal of 7542400320 is 230042457.

It is a super-2 number, since 2×7542400320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41670630 + ... + 41670810.

It is an arithmetic number, because the mean of its divisors is an integer number (37444680).

Almost surely, 2^7542400320 is an apocalyptic number.

7542400320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7542400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16775216640).

7542400320 is an abundant number, since it is smaller than the sum of its proper divisors (26008032960).

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

7542400320 is a wasteful number, since it uses less digits than its factorization.

7542400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 7542400320 is about 86846.9937303532. The cubic root of 7542400320 is about 1961.1155942536.

Adding to 7542400320 its reverse (230042457), we get a palindrome (7772442777).

The spelling of 7542400320 in words is "seven billion, five hundred forty-two million, four hundred thousand, three hundred twenty".