7488346320 has 1120 divisors, whose sum is σ = 34427296512. Its totient is φ = 1469104128.

The previous prime is 7488346301. The next prime is 7488346373. The reversal of 7488346320 is 236438847.

7488346320 is a `hidden beast` number, since 7 + 4 + 8 + 8 + 3 + 4 + 632 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 90220999 + ... + 90221081.

Almost surely, 2^7488346320 is an apocalyptic number.

7488346320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7488346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17213648256).

7488346320 is an abundant number, since it is smaller than the sum of its proper divisors (26938950192).

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

7488346320 is a wasteful number, since it uses less digits than its factorization.

7488346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 7488346320 is about 86535.2316689567. The cubic root of 7488346320 is about 1956.4194591402.

The spelling of 7488346320 in words is "seven billion, four hundred eighty-eight million, three hundred forty-six thousand, three hundred twenty".