42636472960 has 128 divisors (see below), whose sum is σ = 103186872000. Its totient is φ = 16845029376.

The previous prime is 42636472951. The next prime is 42636472987. The reversal of 42636472960 is 6927463624.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42636472960² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 25094191 + ... + 25095889.

Almost surely, 2^42636472960 is an apocalyptic number.

42636472960 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 42636472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51593436000).

42636472960 is an abundant number, since it is smaller than the sum of its proper divisors (60550399040).

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

42636472960 is a wasteful number, since it uses less digits than its factorization.

42636472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

The spelling of 42636472960 in words is "forty-two billion, six hundred thirty-six million, four hundred seventy-two thousand, nine hundred sixty".