42657723360 has 240 divisors, whose sum is σ = 172053183456. Its totient is φ = 9750316032.

The previous prime is 42657723349. The next prime is 42657723419. The reversal of 42657723360 is 6332775624.

42657723360 is a `hidden beast` number, since 4 + 26 + 577 + 23 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144387 + ... + 325826.

Almost surely, 2^42657723360 is an apocalyptic number.

42657723360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42657723360 is an abundant number, since it is smaller than the sum of its proper divisors (129395460096).

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

42657723360 is a wasteful number, since it uses less digits than its factorization.

42657723360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470247 (or 470230 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 42657723360 in words is "forty-two billion, six hundred fifty-seven million, seven hundred twenty-three thousand, three hundred sixty".