7487045280 has 576 divisors, whose sum is σ = 30393522432. Its totient is φ = 1654456320.

The previous prime is 7487045273. The next prime is 7487045287. The reversal of 7487045280 is 825407847.

It is an interprime number because it is at equal distance from previous prime (7487045273) and next prime (7487045287).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7487045287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21209584 + ... + 21209936.

It is an arithmetic number, because the mean of its divisors is an integer number (52766532).

Almost surely, 2^7487045280 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 7487045280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15196761216).

7487045280 is an abundant number, since it is smaller than the sum of its proper divisors (22906477152).

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

7487045280 is a wasteful number, since it uses less digits than its factorization.

7487045280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 7487045280 is about 86527.7139418348. The cubic root of 7487045280 is about 1956.3061485243.

The spelling of 7487045280 in words is "seven billion, four hundred eighty-seven million, forty-five thousand, two hundred eighty".