6478390886400 has 1008 divisors, whose sum is σ = 24309167759520. Its totient is φ = 1712282664960.

The previous prime is 6478390886389. The next prime is 6478390886431. The reversal of 6478390886400 is 46880938746.

6478390886400 is a `hidden beast` number, since 64 + 7 + 8 + 3 + 90 + 8 + 86 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57330892744 + ... + 57330892856.

Almost surely, 2^{6478390886400} is an apocalyptic number.

6478390886400 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 6478390886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12154583879760).

6478390886400 is an abundant number, since it is smaller than the sum of its proper divisors (17830776873120).

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

6478390886400 is an frugal number, since it uses more digits than its factorization.

6478390886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6478390886400 in words is "six trillion, four hundred seventy-eight billion, three hundred ninety million, eight hundred eighty-six thousand, four hundred".