42793803360 has 1920 divisors, whose sum is σ = 206896757760. Its totient is φ = 8062156800.

The previous prime is 42793803337. The next prime is 42793803383. The reversal of 42793803360 is 6330839724.

42793803360 is a `hidden beast` number, since 427 + 93 + 80 + 3 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (42793803337) and next prime (42793803383).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 701537730 + ... + 701537790.

It is an arithmetic number, because the mean of its divisors is an integer number (107758728).

Almost surely, 2^42793803360 is an apocalyptic number.

42793803360 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 42793803360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103448378880).

42793803360 is an abundant number, since it is smaller than the sum of its proper divisors (164102954400).

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

42793803360 is a wasteful number, since it uses less digits than its factorization.

42793803360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 42793803360 in words is "forty-two billion, seven hundred ninety-three million, eight hundred three thousand, three hundred sixty".