42633679752 has 256 divisors, whose sum is σ = 127266048000. Its totient is φ = 13194316800.

The previous prime is 42633679679. The next prime is 42633679769. The reversal of 42633679752 is 25797633624.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35146698 + ... + 35147910.

It is an arithmetic number, because the mean of its divisors is an integer number (497133000).

Almost surely, 2^42633679752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42633679752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63633024000).

42633679752 is an abundant number, since it is smaller than the sum of its proper divisors (84632368248).

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

42633679752 is a wasteful number, since it uses less digits than its factorization.

42633679752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1459 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 42633679752 in words is "forty-two billion, six hundred thirty-three million, six hundred seventy-nine thousand, seven hundred fifty-two".