42768129600 has 420 divisors, whose sum is σ = 179666538304. Its totient is φ = 9775365120.

The previous prime is 42768129529. The next prime is 42768129637. The reversal of 42768129600 is 692186724.

It is a happy number.

42768129600 is a `hidden beast` number, since 4 + 27 + 6 + 8 + 12 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×42768129600² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 883629 + ... + 930771.

Almost surely, 2^42768129600 is an apocalyptic number.

42768129600 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 42768129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89833269152).

42768129600 is an abundant number, since it is smaller than the sum of its proper divisors (136898408704).

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

42768129600 is a wasteful number, since it uses less digits than its factorization.

42768129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47184 (or 47160 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 42768129600 in words is "forty-two billion, seven hundred sixty-eight million, one hundred twenty-nine thousand, six hundred".