42707724160 has 64 divisors (see below), whose sum is σ = 102372446880. Its totient is φ = 17037195264.

The previous prime is 42707724149. The next prime is 42707724161. The reversal of 42707724160 is 6142770724.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42707724161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149269 + ... + 328171.

Almost surely, 2^42707724160 is an apocalyptic number.

42707724160 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 42707724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51186223440).

42707724160 is an abundant number, since it is smaller than the sum of its proper divisors (59664722720).

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

42707724160 is a wasteful number, since it uses less digits than its factorization.

42707724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179295 (or 179283 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The spelling of 42707724160 in words is "forty-two billion, seven hundred seven million, seven hundred twenty-four thousand, one hundred sixty".