42765004800 has 702 divisors, whose sum is σ = 178371377028. Its totient is φ = 9764536320.

The previous prime is 42765004771. The next prime is 42765004837. The reversal of 42765004800 is 840056724.

42765004800 is a `hidden beast` number, since 4 + 2 + 76 + 500 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 45157927 + ... + 45158873.

Almost surely, 2^42765004800 is an apocalyptic number.

42765004800 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 42765004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89185688514).

42765004800 is an abundant number, since it is smaller than the sum of its proper divisors (135606372228).

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

42765004800 is a wasteful number, since it uses less digits than its factorization.

42765004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42765004800 in words is "forty-two billion, seven hundred sixty-five million, four thousand, eight hundred".