7448716704 has 384 divisors, whose sum is σ = 24775704576. Its totient is φ = 1926144000.

The previous prime is 7448716657. The next prime is 7448716733. The reversal of 7448716704 is 4076178447.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9787684 + ... + 9788444.

It is an arithmetic number, because the mean of its divisors is an integer number (64520064).

Almost surely, 2^7448716704 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 7448716704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387852288).

7448716704 is an abundant number, since it is smaller than the sum of its proper divisors (17326987872).

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

7448716704 is a wasteful number, since it uses less digits than its factorization.

7448716704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The square root of 7448716704 is about 86305.9482538718. The cubic root of 7448716704 is about 1952.9621169677.

The spelling of 7448716704 in words is "seven billion, four hundred forty-eight million, seven hundred sixteen thousand, seven hundred four".