667873420032 has 864 divisors, whose sum is σ = 2371717103616. Its totient is φ = 162890956800.

The previous prime is 667873420021. The next prime is 667873420061. The reversal of 667873420032 is 230024378766.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 647791357 + ... + 647792387.

It is an arithmetic number, because the mean of its divisors is an integer number (2745042944).

Almost surely, 2^667873420032 is an apocalyptic number.

667873420032 is a gapful number since it is divisible by the number (62) 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 667873420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185858551808).

667873420032 is an abundant number, since it is smaller than the sum of its proper divisors (1703843683584).

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

667873420032 is a wasteful number, since it uses less digits than its factorization.

667873420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

Adding to 667873420032 its reverse (230024378766), we get a palindrome (897897798798).

The spelling of 667873420032 in words is "six hundred sixty-seven billion, eight hundred seventy-three million, four hundred twenty thousand, thirty-two".