42736066560 has 560 divisors, whose sum is σ = 167278031712. Its totient is φ = 10351411200.

The previous prime is 42736066489. The next prime is 42736066603. The reversal of 42736066560 is 6566063724.

42736066560 is a `hidden beast` number, since 4 + 27 + 3 + 6 + 0 + 66 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36494775 + ... + 36495945.

Almost surely, 2^42736066560 is an apocalyptic number.

42736066560 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 42736066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83639015856).

42736066560 is an abundant number, since it is smaller than the sum of its proper divisors (124541965152).

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

42736066560 is a wasteful number, since it uses less digits than its factorization.

42736066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 42736066560 in words is "forty-two billion, seven hundred thirty-six million, sixty-six thousand, five hundred sixty".