42785832960 has 760 divisors, whose sum is σ = 170523298176. Its totient is φ = 10192158720.

The previous prime is 42785832949. The next prime is 42785832967. The reversal of 42785832960 is 6923858724.

42785832960 is a `hidden beast` number, since 4 + 278 + 5 + 83 + 296 + 0 = 666.

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 = 42785832897 and 42785832906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42785832967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1380188145 + ... + 1380188175.

Almost surely, 2^42785832960 is an apocalyptic number.

42785832960 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 42785832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85261649088).

42785832960 is an abundant number, since it is smaller than the sum of its proper divisors (127737465216).

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

42785832960 is an frugal number, since it uses more digits than its factorization.

42785832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 42785832960 in words is "forty-two billion, seven hundred eighty-five million, eight hundred thirty-two thousand, nine hundred sixty".