7628123124 has 72 divisors (see below), whose sum is σ = 19714181760. Its totient is φ = 2485863552.

The previous prime is 7628123117. The next prime is 7628123131. The reversal of 7628123124 is 4213218267.

It is a happy number.

7628123124 is a `hidden beast` number, since 7 + 628 + 1 + 2 + 3 + 1 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (7628123117) and next prime (7628123131).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2016667 + ... + 2020445.

It is an arithmetic number, because the mean of its divisors is an integer number (273808080).

Almost surely, 2^7628123124 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 7628123124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9857090880).

7628123124 is an abundant number, since it is smaller than the sum of its proper divisors (12086058636).

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

7628123124 is a wasteful number, since it uses less digits than its factorization.

7628123124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5024 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7628123124 is about 87339.1271080722. The cubic root of 7628123124 is about 1968.5172798721.

The spelling of 7628123124 in words is "seven billion, six hundred twenty-eight million, one hundred twenty-three thousand, one hundred twenty-four".