42760396800 has 1344 divisors, whose sum is σ = 185272070400. Its totient is φ = 9555148800.

The previous prime is 42760396753. The next prime is 42760396829. The reversal of 42760396800 is 869306724.

42760396800 is a `hidden beast` number, since 427 + 60 + 3 + 96 + 80 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1155686382 + ... + 1155686418.

Almost surely, 2^42760396800 is an apocalyptic number.

42760396800 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 42760396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92636035200).

42760396800 is an abundant number, since it is smaller than the sum of its proper divisors (142511673600).

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

42760396800 is a wasteful number, since it uses less digits than its factorization.

42760396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42760396800 in words is "forty-two billion, seven hundred sixty million, three hundred ninety-six thousand, eight hundred".