42665729605632 has 1920 divisors, whose sum is σ = 156546780364800. Its totient is φ = 11222585966592.

The previous prime is 42665729605621. The next prime is 42665729605673. The reversal of 42665729605632 is 23650692756624.

42665729605632 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 5 + 7 + 2 + 9 + 60 + 563 + 2 = 666.

It is a super-2 number, since 2×42665729605632² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 42665729605632.

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 127 ways as a sum of consecutive naturals, for example, 335950626753 + ... + 335950626879.

It is an arithmetic number, because the mean of its divisors is an integer number (81534781440).

Almost surely, 2^{42665729605632} is an apocalyptic number.

42665729605632 is a gapful number since it is divisible by the number (42) 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 42665729605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78273390182400).

42665729605632 is an abundant number, since it is smaller than the sum of its proper divisors (113881050759168).

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

42665729605632 is a wasteful number, since it uses less digits than its factorization.

42665729605632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 42665729605632 in words is "forty-two trillion, six hundred sixty-five billion, seven hundred twenty-nine million, six hundred five thousand, six hundred thirty-two".