667891481400 has 1728 divisors, whose sum is σ = 2867361120000. Its totient is φ = 137587507200.

The previous prime is 667891481399. The next prime is 667891481423. The reversal of 667891481400 is 4184198766.

667891481400 is a `hidden beast` number, since 6 + 6 + 78 + 91 + 4 + 81 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3356238501 + ... + 3356238699.

It is an arithmetic number, because the mean of its divisors is an integer number (1659352500).

Almost surely, 2^667891481400 is an apocalyptic number.

667891481400 is a gapful number since it is divisible by the number (60) 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 667891481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433680560000).

667891481400 is an abundant number, since it is smaller than the sum of its proper divisors (2199469638600).

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

667891481400 is a wasteful number, since it uses less digits than its factorization.

667891481400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 667891481400 in words is "six hundred sixty-seven billion, eight hundred ninety-one million, four hundred eighty-one thousand, four hundred".