7623484416 has 132 divisors (see below), whose sum is σ = 22217523900. Its totient is φ = 2517516288.

The previous prime is 7623484411. The next prime is 7623484423. The reversal of 7623484416 is 6144843267.

7623484416 is a `hidden beast` number, since 7 + 623 + 4 + 8 + 4 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2088124416 + 5535360000 = 45696^2 + 74400^2 .

It is a super-2 number, since 2×7623484416² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7623484411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000750 + ... + 1008338.

It is an arithmetic number, because the mean of its divisors is an integer number (168314575).

Almost surely, 2^7623484416 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 7623484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108761950).

7623484416 is an abundant number, since it is smaller than the sum of its proper divisors (14594039484).

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

7623484416 is a wasteful number, since it uses less digits than its factorization.

7623484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7724 (or 7703 counting only the distinct ones).

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

The square root of 7623484416 is about 87312.5673428516. The cubic root of 7623484416 is about 1968.1181765243.

The spelling of 7623484416 in words is "seven billion, six hundred twenty-three million, four hundred eighty-four thousand, four hundred sixteen".