42764500800 has 1008 divisors, whose sum is σ = 189852848640. Its totient is φ = 9249085440.

The previous prime is 42764500787. The next prime is 42764500843. The reversal of 42764500800 is 800546724.

42764500800 is a `hidden beast` number, since 4 + 2 + 7 + 645 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51709987 + ... + 51710813.

It is an arithmetic number, because the mean of its divisors is an integer number (188346080).

Almost surely, 2^42764500800 is an apocalyptic number.

42764500800 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 42764500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94926424320).

42764500800 is an abundant number, since it is smaller than the sum of its proper divisors (147088347840).

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

42764500800 is a wasteful number, since it uses less digits than its factorization.

42764500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 863 counting only the distinct ones).

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

The spelling of 42764500800 in words is "forty-two billion, seven hundred sixty-four million, five hundred thousand, eight hundred".