42657269760 has 1152 divisors, whose sum is σ = 183162470400. Its totient is φ = 9316270080.

The previous prime is 42657269731. The next prime is 42657269783. The reversal of 42657269760 is 6796275624.

42657269760 is a `hidden beast` number, since 4 + 2 + 6 + 572 + 6 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42657269697 and 42657269706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539965401 + ... + 539965479.

It is an arithmetic number, because the mean of its divisors is an integer number (158995200).

Almost surely, 2^42657269760 is an apocalyptic number.

42657269760 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 42657269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91581235200).

42657269760 is an abundant number, since it is smaller than the sum of its proper divisors (140505200640).

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

42657269760 is an equidigital number, since it uses as much as digits as its factorization.

42657269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 42657269760 in words is "forty-two billion, six hundred fifty-seven million, two hundred sixty-nine thousand, seven hundred sixty".