7487544960 has 768 divisors, whose sum is σ = 31814208000. Its totient is φ = 1658216448.

The previous prime is 7487544941. The next prime is 7487544983. The reversal of 7487544960 is 694457847.

7487544960 is a `hidden beast` number, since 7 + 4 + 8 + 7 + 544 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7487544897 and 7487544906.

It is an unprimeable number.

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, 31328521 + ... + 31328759.

It is an arithmetic number, because the mean of its divisors is an integer number (41424750).

Almost surely, 2^7487544960 is an apocalyptic number.

7487544960 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 7487544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907104000).

7487544960 is an abundant number, since it is smaller than the sum of its proper divisors (24326663040).

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

7487544960 is a wasteful number, since it uses less digits than its factorization.

7487544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7487544960 is about 86530.6012922596. The cubic root of 7487544960 is about 1956.3496683765.

The spelling of 7487544960 in words is "seven billion, four hundred eighty-seven million, five hundred forty-four thousand, nine hundred sixty".