42273372960 has 768 divisors, whose sum is σ = 183379230720. Its totient is φ = 8856760320.

The previous prime is 42273372943. The next prime is 42273372979. The reversal of 42273372960 is 6927337224.

42273372960 is a `hidden beast` number, since 4 + 2 + 27 + 337 + 296 + 0 = 666.

42273372960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42273372960² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 75085639 + ... + 75086201.

It is an arithmetic number, because the mean of its divisors is an integer number (238775040).

Almost surely, 2^42273372960 is an apocalyptic number.

42273372960 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 42273372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91689615360).

42273372960 is an abundant number, since it is smaller than the sum of its proper divisors (141105857760).

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

42273372960 is a wasteful number, since it uses less digits than its factorization.

42273372960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 42273372960 in words is "forty-two billion, two hundred seventy-three million, three hundred seventy-two thousand, nine hundred sixty".