7488730080 has 288 divisors, whose sum is σ = 28719302976. Its totient is φ = 1763131392.

The previous prime is 7488730063. The next prime is 7488730127. The reversal of 7488730080 is 800378847.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7488730080² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 421864 + ... + 439256.

It is an arithmetic number, because the mean of its divisors is an integer number (99719802).

Almost surely, 2^7488730080 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 7488730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14359651488).

7488730080 is an abundant number, since it is smaller than the sum of its proper divisors (21230572896).

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

7488730080 is a wasteful number, since it uses less digits than its factorization.

7488730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17450 (or 17439 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 7488730080 is about 86537.4490033072. The cubic root of 7488730080 is about 1956.4528791894.

The spelling of 7488730080 in words is "seven billion, four hundred eighty-eight million, seven hundred thirty thousand, eighty".