7284148560 has 960 divisors, whose sum is σ = 30255563520. Its totient is φ = 1612431360.

The previous prime is 7284148549. The next prime is 7284148577. The reversal of 7284148560 is 658414827.

7284148560 is a `hidden beast` number, since 7 + 2 + 8 + 41 + 48 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177662140 + ... + 177662180.

It is an arithmetic number, because the mean of its divisors is an integer number (31516212).

Almost surely, 2^7284148560 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 7284148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127781760).

7284148560 is an abundant number, since it is smaller than the sum of its proper divisors (22971414960).

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

7284148560 is a wasteful number, since it uses less digits than its factorization.

7284148560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7284148560 is about 85347.2235049272. The cubic root of 7284148560 is about 1938.4722942888.

The spelling of 7284148560 in words is "seven billion, two hundred eighty-four million, one hundred forty-eight thousand, five hundred sixty".