7480348800 has 192 divisors, whose sum is σ = 25212776160. Its totient is φ = 1948262400.

The previous prime is 7480348787. The next prime is 7480348819. The reversal of 7480348800 is 88430847.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7480348800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403740 + ... + 421860.

Almost surely, 2^7480348800 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 7480348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606388080).

7480348800 is an abundant number, since it is smaller than the sum of its proper divisors (17732427360).

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

7480348800 is a wasteful number, since it uses less digits than its factorization.

7480348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191 (or 18174 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 7480348800 is about 86489.0097064361. The cubic root of 7480348800 is about 1955.7227286685.

The spelling of 7480348800 in words is "seven billion, four hundred eighty million, three hundred forty-eight thousand, eight hundred".