42824763072 has 448 divisors, whose sum is σ = 160310169600. Its totient is φ = 10903818240.

The previous prime is 42824763061. The next prime is 42824763139. The reversal of 42824763072 is 27036742824.

42824763072 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 4 + 7 + 630 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4555497 + ... + 4564887.

It is an arithmetic number, because the mean of its divisors is an integer number (357835200).

Almost surely, 2^42824763072 is an apocalyptic number.

42824763072 is a gapful number since it is divisible by the number (42) 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 42824763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80155084800).

42824763072 is an abundant number, since it is smaller than the sum of its proper divisors (117485406528).

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

42824763072 is a wasteful number, since it uses less digits than its factorization.

42824763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9461 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 42824763072 in words is "forty-two billion, eight hundred twenty-four million, seven hundred sixty-three thousand, seventy-two".