6400886448 has 240 divisors, whose sum is σ = 19057891328. Its totient is φ = 1847577600.

The previous prime is 6400886423. The next prime is 6400886489. The reversal of 6400886448 is 8446880046.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6400886397 and 6400886406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13143261 + ... + 13143747.

Almost surely, 2^6400886448 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 6400886448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528945664).

6400886448 is an abundant number, since it is smaller than the sum of its proper divisors (12657004880).

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

6400886448 is a wasteful number, since it uses less digits than its factorization.

6400886448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 6400886448 is about 80005.5401081700. The cubic root of 6400886448 is about 1856.7212488032.

The spelling of 6400886448 in words is "six billion, four hundred million, eight hundred eighty-six thousand, four hundred forty-eight".