6348688896 has 480 divisors, whose sum is σ = 21064437504. Its totient is φ = 1676083200.

The previous prime is 6348688877. The next prime is 6348688933. The reversal of 6348688896 is 6988868436.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204796401 + ... + 204796431.

Almost surely, 2^6348688896 is an apocalyptic number.

6348688896 is a gapful number since it is divisible by the number (66) 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 6348688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532218752).

6348688896 is an abundant number, since it is smaller than the sum of its proper divisors (14715748608).

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

6348688896 is a wasteful number, since it uses less digits than its factorization.

6348688896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 66.

The square root of 6348688896 is about 79678.6602297001. The cubic root of 6348688896 is about 1851.6604421421.

The spelling of 6348688896 in words is "six billion, three hundred forty-eight million, six hundred eighty-eight thousand, eight hundred ninety-six".