7488288000 has 576 divisors, whose sum is σ = 28238595840. Its totient is φ = 1978214400.

The previous prime is 7488287977. The next prime is 7488288001. The reversal of 7488288000 is 8828847.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7488288001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69983947 + ... + 69984053.

It is an arithmetic number, because the mean of its divisors is an integer number (49025340).

Almost surely, 2^7488288000 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 7488288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119297920).

7488288000 is an abundant number, since it is smaller than the sum of its proper divisors (20750307840).

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

7488288000 is an frugal number, since it uses more digits than its factorization.

7488288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 7488288000 is about 86534.8946957238. The cubic root of 7488288000 is about 1956.4143801960.

The spelling of 7488288000 in words is "seven billion, four hundred eighty-eight million, two hundred eighty-eight thousand".