7423123680 has 720 divisors, whose sum is σ = 31382179920. Its totient is φ = 1593188352.

The previous prime is 7423123679. The next prime is 7423123681. The reversal of 7423123680 is 863213247.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7423123679) and next prime (7423123681).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7423123681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65691304 + ... + 65691416.

It is an arithmetic number, because the mean of its divisors is an integer number (43586361).

Almost surely, 2^7423123680 is an apocalyptic number.

7423123680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7423123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691089960).

7423123680 is an abundant number, since it is smaller than the sum of its proper divisors (23959056240).

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

7423123680 is a wasteful number, since it uses less digits than its factorization.

7423123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7423123680 is about 86157.5514972425. The cubic root of 7423123680 is about 1950.7228247329.

The spelling of 7423123680 in words is "seven billion, four hundred twenty-three million, one hundred twenty-three thousand, six hundred eighty".