142673680800 has 1152 divisors, whose sum is σ = 619960320000. Its totient is φ = 30979584000.

The previous prime is 142673680771. The next prime is 142673680817. The reversal of 142673680800 is 8086376241.

142673680800 is a `hidden beast` number, since 1 + 426 + 73 + 6 + 80 + 80 + 0 = 666.

142673680800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285918951 + ... + 285919449.

It is an arithmetic number, because the mean of its divisors is an integer number (538160000).

Almost surely, 2^142673680800 is an apocalyptic number.

142673680800 is a gapful number since it is divisible by the number (10) 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 142673680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309980160000).

142673680800 is an abundant number, since it is smaller than the sum of its proper divisors (477286639200).

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

142673680800 is a wasteful number, since it uses less digits than its factorization.

142673680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 142673680800 in words is "one hundred forty-two billion, six hundred seventy-three million, six hundred eighty thousand, eight hundred".