7284875520 has 144 divisors (see below), whose sum is σ = 25055940672. Its totient is φ = 1793187840.

The previous prime is 7284875501. The next prime is 7284875527. The reversal of 7284875520 is 255784827.

It is a super-2 number, since 2×7284875520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7284875520.

It is not an unprimeable number, because it can be changed into a prime (7284875527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23046 + ... + 122885.

It is an arithmetic number, because the mean of its divisors is an integer number (173999588).

Almost surely, 2^7284875520 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 7284875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12527970336).

7284875520 is an abundant number, since it is smaller than the sum of its proper divisors (17771065152).

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

7284875520 is a wasteful number, since it uses less digits than its factorization.

7284875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145968 (or 145954 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 7284875520 is about 85351.4822366899. The cubic root of 7284875520 is about 1938.5367788304.

The spelling of 7284875520 in words is "seven billion, two hundred eighty-four million, eight hundred seventy-five thousand, five hundred twenty".