667881476856 has 96 divisors (see below), whose sum is σ = 1974347481600. Its totient is φ = 202279475520.

The previous prime is 667881476851. The next prime is 667881476923. The reversal of 667881476856 is 658674188766.

667881476856 is a `hidden beast` number, since 6 + 6 + 78 + 8 + 1 + 476 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667881476851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1252825 + ... + 1704503.

It is an arithmetic number, because the mean of its divisors is an integer number (20566119600).

Almost surely, 2^667881476856 is an apocalyptic number.

667881476856 is a gapful number since it is divisible by the number (66) 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 667881476856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987173740800).

667881476856 is an abundant number, since it is smaller than the sum of its proper divisors (1306466004744).

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

667881476856 is a wasteful number, since it uses less digits than its factorization.

667881476856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453569 (or 453562 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 667881476856 in words is "six hundred sixty-seven billion, eight hundred eighty-one million, four hundred seventy-six thousand, eight hundred fifty-six".