7464112128 has 312 divisors, whose sum is σ = 23920341120. Its totient is φ = 2223636480.

The previous prime is 7464112127. The next prime is 7464112147. The reversal of 7464112128 is 8212114647.

It is a happy number.

7464112128 is a `hidden beast` number, since 7 + 4 + 641 + 1 + 2 + 1 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7464112092 and 7464112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7464112127) 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 23 ways as a sum of consecutive naturals, for example, 32034700 + ... + 32034932.

It is an arithmetic number, because the mean of its divisors is an integer number (76667760).

Almost surely, 2^7464112128 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 7464112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11960170560).

7464112128 is an abundant number, since it is smaller than the sum of its proper divisors (16456228992).

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

7464112128 is a wasteful number, since it uses less digits than its factorization.

7464112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 328 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7464112128 is about 86395.0931940003. The cubic root of 7464112128 is about 1954.3066881332.

The spelling of 7464112128 in words is "seven billion, four hundred sixty-four million, one hundred twelve thousand, one hundred twenty-eight".