6628124880 has 480 divisors, whose sum is σ = 25270382592. Its totient is φ = 1545523200.

The previous prime is 6628124809. The next prime is 6628124887. The reversal of 6628124880 is 884218266.

6628124880 is a `hidden beast` number, since 6 + 628 + 12 + 4 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6628124887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15378265 + ... + 15378695.

Almost surely, 2^6628124880 is an apocalyptic number.

6628124880 is a gapful number since it is divisible by the number (60) 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 6628124880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12635191296).

6628124880 is an abundant number, since it is smaller than the sum of its proper divisors (18642257712).

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

6628124880 is a wasteful number, since it uses less digits than its factorization.

6628124880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6628124880 is about 81413.2967026886. The cubic root of 6628124880 is about 1878.4381248387.

The spelling of 6628124880 in words is "six billion, six hundred twenty-eight million, one hundred twenty-four thousand, eight hundred eighty".