5671167734400 has 768 divisors, whose sum is σ = 21801104640000. Its totient is φ = 1268862566400.

The previous prime is 5671167734371. The next prime is 5671167734467. The reversal of 5671167734400 is 44377611765.

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 95 ways as a sum of consecutive naturals, for example, 1777236805 + ... + 1777239995.

It is an arithmetic number, because the mean of its divisors is an integer number (28386855000).

Almost surely, 2^{5671167734400} is an apocalyptic number.

5671167734400 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 5671167734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900552320000).

5671167734400 is an abundant number, since it is smaller than the sum of its proper divisors (16129936905600).

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

5671167734400 is a wasteful number, since it uses less digits than its factorization.

5671167734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 5671167734400 in words is "five trillion, six hundred seventy-one billion, one hundred sixty-seven million, seven hundred thirty-four thousand, four hundred".