7487338560 has 224 divisors, whose sum is σ = 27107644032. Its totient is φ = 1734574080.

The previous prime is 7487338501. The next prime is 7487338627. The reversal of 7487338560 is 658337847.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194515 + ... + 229805.

It is an arithmetic number, because the mean of its divisors is an integer number (121016268).

Almost surely, 2^7487338560 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 7487338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553822016).

7487338560 is an abundant number, since it is smaller than the sum of its proper divisors (19620305472).

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

7487338560 is a wasteful number, since it uses less digits than its factorization.

7487338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35341 (or 35331 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The square root of 7487338560 is about 86529.4086423801. The cubic root of 7487338560 is about 1956.3316921113.

The spelling of 7487338560 in words is "seven billion, four hundred eighty-seven million, three hundred thirty-eight thousand, five hundred sixty".