42744672000 has 864 divisors, whose sum is σ = 167135754240. Its totient is φ = 10857369600.

The previous prime is 42744671909. The next prime is 42744672011. The reversal of 42744672000 is 27644724.

It is a happy number.

42744672000 is a `hidden beast` number, since 4 + 2 + 7 + 446 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 178847881 + ... + 178848119.

It is an arithmetic number, because the mean of its divisors is an integer number (193444160).

Almost surely, 2^42744672000 is an apocalyptic number.

42744672000 is a gapful number since it is divisible by the number (40) 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 42744672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83567877120).

42744672000 is an abundant number, since it is smaller than the sum of its proper divisors (124391082240).

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

42744672000 is an equidigital number, since it uses as much as digits as its factorization.

42744672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 42744672000 in words is "forty-two billion, seven hundred forty-four million, six hundred seventy-two thousand".