7480464000 has 256 divisors, whose sum is σ = 25059490560. Its totient is φ = 1973760000.

The previous prime is 7480463953. The next prime is 7480464031. The reversal of 7480464000 is 4640847.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4847229 + ... + 4848771.

It is an arithmetic number, because the mean of its divisors is an integer number (97888635).

Almost surely, 2^7480464000 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 7480464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12529745280).

7480464000 is an abundant number, since it is smaller than the sum of its proper divisors (17579026560).

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

7480464000 is a wasteful number, since it uses less digits than its factorization.

7480464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 7480464000 is about 86489.6756844422. The cubic root of 7480464000 is about 1955.7327682227.

The spelling of 7480464000 in words is "seven billion, four hundred eighty million, four hundred sixty-four thousand".