42664156800 has 192 divisors, whose sum is σ = 140719118400. Its totient is φ = 11361402880.

The previous prime is 42664156793. The next prime is 42664156819. The reversal of 42664156800 is 865146624.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8051752 + ... + 8057048.

It is an arithmetic number, because the mean of its divisors is an integer number (732912075).

Almost surely, 2^42664156800 is an apocalyptic number.

42664156800 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 42664156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70359559200).

42664156800 is an abundant number, since it is smaller than the sum of its proper divisors (98054961600).

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

42664156800 is a wasteful number, since it uses less digits than its factorization.

42664156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 42664156800 in words is "forty-two billion, six hundred sixty-four million, one hundred fifty-six thousand, eight hundred".