42633864000 has 1344 divisors, whose sum is σ = 195462339072. Its totient is φ = 8957952000.

The previous prime is 42633863999. The next prime is 42633864011. The reversal of 42633864000 is 46833624.

It is a happy number.

42633864000 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 3 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 176903880 + ... + 176904120.

It is an arithmetic number, because the mean of its divisors is an integer number (145433288).

Almost surely, 2^42633864000 is an apocalyptic number.

42633864000 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 42633864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97731169536).

42633864000 is an abundant number, since it is smaller than the sum of its proper divisors (152828475072).

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

42633864000 is a wasteful number, since it uses less digits than its factorization.

42633864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 42633864000 in words is "forty-two billion, six hundred thirty-three million, eight hundred sixty-four thousand".