667678464000 has 576 divisors, whose sum is σ = 2495982172320. Its totient is φ = 178031001600.

The previous prime is 667678463923. The next prime is 667678464007. The reversal of 667678464000 is 464876766.

It is a happy number.

667678464000 is a `hidden beast` number, since 66 + 76 + 78 + 46 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667678464007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62202634 + ... + 62213366.

Almost surely, 2^667678464000 is an apocalyptic number.

667678464000 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 667678464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247991086160).

667678464000 is an abundant number, since it is smaller than the sum of its proper divisors (1828303708320).

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

667678464000 is an equidigital number, since it uses as much as digits as its factorization.

667678464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10785 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 667678464000 in words is "six hundred sixty-seven billion, six hundred seventy-eight million, four hundred sixty-four thousand".