42664581792 has 240 divisors, whose sum is σ = 148028170752. Its totient is φ = 11796503040.

The previous prime is 42664581787. The next prime is 42664581851. The reversal of 42664581792 is 29718546624.

42664581792 is a `hidden beast` number, since 42 + 66 + 458 + 1 + 7 + 92 = 666.

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 39 ways as a sum of consecutive naturals, for example, 524538 + ... + 600390.

Almost surely, 2^42664581792 is an apocalyptic number.

42664581792 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 42664581792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74014085376).

42664581792 is an abundant number, since it is smaller than the sum of its proper divisors (105363588960).

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

42664581792 is a wasteful number, since it uses less digits than its factorization.

42664581792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75913 (or 75896 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 42664581792 in words is "forty-two billion, six hundred sixty-four million, five hundred eighty-one thousand, seven hundred ninety-two".