7474664448 has 616 divisors, whose sum is σ = 25774513920. Its totient is φ = 2149908480.

The previous prime is 7474664447. The next prime is 7474664459. The reversal of 7474664448 is 8444664747.

7474664448 is a `hidden beast` number, since 74 + 74 + 6 + 64 + 448 = 666.

It is a super-2 number, since 2×7474664448² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (14450688) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 7474664394 and 7474664403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7474664443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 241118193 + ... + 241118223.

Almost surely, 2^7474664448 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 7474664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887256960).

7474664448 is an abundant number, since it is smaller than the sum of its proper divisors (18299849472).

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

7474664448 is a wasteful number, since it uses less digits than its factorization.

7474664448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The square root of 7474664448 is about 86456.1417598542. The cubic root of 7474664448 is about 1955.2272155203.

The spelling of 7474664448 in words is "seven billion, four hundred seventy-four million, six hundred sixty-four thousand, four hundred forty-eight".