42816564000 has 576 divisors, whose sum is σ = 175124581632. Its totient is φ = 9704448000.

The previous prime is 42816563963. The next prime is 42816564013. The reversal of 42816564000 is 46561824.

42816564000 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 6 + 5 + 640 + 0 + 0 = 666.

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

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, 33011352 + ... + 33012648.

It is an arithmetic number, because the mean of its divisors is an integer number (304035732).

Almost surely, 2^42816564000 is an apocalyptic number.

42816564000 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 42816564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87562290816).

42816564000 is an abundant number, since it is smaller than the sum of its proper divisors (132308017632).

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

42816564000 is a wasteful number, since it uses less digits than its factorization.

42816564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42816564000 in words is "forty-two billion, eight hundred sixteen million, five hundred sixty-four thousand".