6399578880 has 576 divisors, whose sum is σ = 24229739520. Its totient is φ = 1596063744.

The previous prime is 6399578851. The next prime is 6399578947. The reversal of 6399578880 is 888759936.

It is a tau number, because it is divible by the number of its divisors (576).

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, 65974992 + ... + 65975088.

It is an arithmetic number, because the mean of its divisors is an integer number (42065520).

Almost surely, 2^6399578880 is an apocalyptic number.

6399578880 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 6399578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114869760).

6399578880 is an abundant number, since it is smaller than the sum of its proper divisors (17830160640).

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

6399578880 is a wasteful number, since it uses less digits than its factorization.

6399578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 6399578880 is about 79997.3679567022. The cubic root of 6399578880 is about 1856.5948103459.

The spelling of 6399578880 in words is "six billion, three hundred ninety-nine million, five hundred seventy-eight thousand, eight hundred eighty".