6628193376 has 384 divisors, whose sum is σ = 21919113216. Its totient is φ = 1710858240.

The previous prime is 6628193321. The next prime is 6628193381. The reversal of 6628193376 is 6733918266.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50596831 + ... + 50596961.

It is an arithmetic number, because the mean of its divisors is an integer number (57081024).

Almost surely, 2^6628193376 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 6628193376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10959556608).

6628193376 is an abundant number, since it is smaller than the sum of its proper divisors (15290919840).

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

6628193376 is a wasteful number, since it uses less digits than its factorization.

6628193376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 6628193376 is about 81413.7173699862. The cubic root of 6628193376 is about 1878.4445955000. Note that the first 3 decimals are identical.

The spelling of 6628193376 in words is "six billion, six hundred twenty-eight million, one hundred ninety-three thousand, three hundred seventy-six".