42675413760 has 720 divisors, whose sum is σ = 176268804096. Its totient is φ = 9656672256.

The previous prime is 42675413741. The next prime is 42675413839. The reversal of 42675413760 is 6731457624.

42675413760 is a `hidden beast` number, since 42 + 6 + 7 + 541 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 92171289 + ... + 92171751.

Almost surely, 2^42675413760 is an apocalyptic number.

42675413760 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 42675413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88134402048).

42675413760 is an abundant number, since it is smaller than the sum of its proper divisors (133593390336).

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

42675413760 is a wasteful number, since it uses less digits than its factorization.

42675413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42675413760 in words is "forty-two billion, six hundred seventy-five million, four hundred thirteen thousand, seven hundred sixty".