42793071360 has 864 divisors, whose sum is σ = 160297740288. Its totient is φ = 9699655680.

The previous prime is 42793071341. The next prime is 42793071371. The reversal of 42793071360 is 6317039724.

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 95 ways as a sum of consecutive naturals, for example, 701525730 + ... + 701525790.

It is an arithmetic number, because the mean of its divisors is an integer number (185529792).

Almost surely, 2^42793071360 is an apocalyptic number.

42793071360 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 42793071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80148870144).

42793071360 is an abundant number, since it is smaller than the sum of its proper divisors (117504668928).

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

42793071360 is a wasteful number, since it uses less digits than its factorization.

42793071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 42793071360 in words is "forty-two billion, seven hundred ninety-three million, seventy-one thousand, three hundred sixty".