7540449280 has 504 divisors, whose sum is σ = 24081633828. Its totient is φ = 2246049792.

The previous prime is 7540449247. The next prime is 7540449289. The reversal of 7540449280 is 829440457.

It can be written as a sum of positive squares in 6 ways, for example, as 3990196224 + 3550253056 = 63168^2 + 59584^2 .

It is not an unprimeable number, because it can be changed into a prime (7540449289) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 443555832 + ... + 443555848.

Almost surely, 2^7540449280 is an apocalyptic number.

7540449280 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 7540449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12040816914).

7540449280 is an abundant number, since it is smaller than the sum of its proper divisors (16541184548).

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

7540449280 is a wasteful number, since it uses less digits than its factorization.

7540449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 7540449280 is about 86835.7603755503. The cubic root of 7540449280 is about 1960.9464816471.

The spelling of 7540449280 in words is "seven billion, five hundred forty million, four hundred forty-nine thousand, two hundred eighty".