5667840000 has 560 divisors, whose sum is σ = 21495806640. Its totient is φ = 1474560000.

The previous prime is 5667839999. The next prime is 5667840023. The reversal of 5667840000 is 487665.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138239980 + ... + 138240020.

It is an arithmetic number, because the mean of its divisors is an integer number (38385369).

Almost surely, 2^5667840000 is an apocalyptic number.

5667840000 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 5667840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747903320).

5667840000 is an abundant number, since it is smaller than the sum of its proper divisors (15827966640).

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

5667840000 is an frugal number, since it uses more digits than its factorization.

5667840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5667840000 is about 75285.0582785190. The cubic root of 5667840000 is about 1782.9501219472.

The spelling of 5667840000 in words is "five billion, six hundred sixty-seven million, eight hundred forty thousand".