5376671664000 has 1024 divisors, whose sum is σ = 22005914112000. Its totient is φ = 1130847436800.

The previous prime is 5376671663999. The next prime is 5376671664031. The reversal of 5376671664000 is 4661766735.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1524430237 + ... + 1524433763.

It is an arithmetic number, because the mean of its divisors is an integer number (21490150500).

Almost surely, 2^{5376671664000} is an apocalyptic number.

5376671664000 is a gapful number since it is divisible by the number (50) 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 5376671664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11002957056000).

5376671664000 is an abundant number, since it is smaller than the sum of its proper divisors (16629242448000).

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

5376671664000 is a wasteful number, since it uses less digits than its factorization.

5376671664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 5376671664000 in words is "five trillion, three hundred seventy-six billion, six hundred seventy-one million, six hundred sixty-four thousand".