42613046784 has 1280 divisors, whose sum is σ = 172846080000. Its totient is φ = 10241925120.

The previous prime is 42613046783. The next prime is 42613046797. The reversal of 42613046784 is 48764031624.

42613046784 is a `hidden beast` number, since 4 + 261 + 304 + 6 + 7 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42613046783) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 991001067 + ... + 991001109.

It is an arithmetic number, because the mean of its divisors is an integer number (135036000).

Almost surely, 2^42613046784 is an apocalyptic number.

42613046784 is a gapful number since it is divisible by the number (44) 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 42613046784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040000).

42613046784 is an abundant number, since it is smaller than the sum of its proper divisors (130233033216).

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

42613046784 is a wasteful number, since it uses less digits than its factorization.

42613046784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 42613046784 in words is "forty-two billion, six hundred thirteen million, forty-six thousand, seven hundred eighty-four".