6351728880 has 640 divisors, whose sum is σ = 25141248000. Its totient is φ = 1320883200.

The previous prime is 6351728837. The next prime is 6351728881. The reversal of 6351728880 is 888271536.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6351728881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48486415 + ... + 48486545.

It is an arithmetic number, because the mean of its divisors is an integer number (39283200).

Almost surely, 2^6351728880 is an apocalyptic number.

6351728880 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 6351728880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570624000).

6351728880 is an abundant number, since it is smaller than the sum of its proper divisors (18789519120).

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

6351728880 is a wasteful number, since it uses less digits than its factorization.

6351728880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 6351728880 is about 79697.7344721919. The cubic root of 6351728880 is about 1851.9559425196.

The spelling of 6351728880 in words is "six billion, three hundred fifty-one million, seven hundred twenty-eight thousand, eight hundred eighty".