7467887280 has 240 divisors, whose sum is σ = 26780785920. Its totient is φ = 1686339072.

The previous prime is 7467887261. The next prime is 7467887291. The reversal of 7467887280 is 827887647.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 7467887280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17822911 + ... + 17823329.

It is an arithmetic number, because the mean of its divisors is an integer number (111586608).

Almost surely, 2^7467887280 is an apocalyptic number.

7467887280 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 7467887280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390392960).

7467887280 is an abundant number, since it is smaller than the sum of its proper divisors (19312898640).

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

7467887280 is a wasteful number, since it uses less digits than its factorization.

7467887280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 57.

The square root of 7467887280 is about 86416.9386173799. The cubic root of 7467887280 is about 1954.6361116106.

The spelling of 7467887280 in words is "seven billion, four hundred sixty-seven million, eight hundred eighty-seven thousand, two hundred eighty".