7288642560 has 352 divisors, whose sum is σ = 25015191552. Its totient is φ = 1804861440.

The previous prime is 7288642549. The next prime is 7288642561. The reversal of 7288642560 is 652468827.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7288642561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26895225 + ... + 26895495.

Almost surely, 2^7288642560 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 7288642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507595776).

7288642560 is an abundant number, since it is smaller than the sum of its proper divisors (17726548992).

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

7288642560 is a wasteful number, since it uses less digits than its factorization.

7288642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 7288642560 is about 85373.5471911528. The cubic root of 7288642560 is about 1938.8708631124.

The spelling of 7288642560 in words is "seven billion, two hundred eighty-eight million, six hundred forty-two thousand, five hundred sixty".