6667671600 has 240 divisors, whose sum is σ = 23821114240. Its totient is φ = 1771372800.

The previous prime is 6667671599. The next prime is 6667671649. The reversal of 6667671600 is 61767666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3314595 + ... + 3316605.

Almost surely, 2^6667671600 is an apocalyptic number.

6667671600 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 6667671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910557120).

6667671600 is an abundant number, since it is smaller than the sum of its proper divisors (17153442640).

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

6667671600 is a wasteful number, since it uses less digits than its factorization.

6667671600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6667671600 is about 81655.8117956095. The cubic root of 6667671600 is about 1882.1666208581.

The spelling of 6667671600 in words is "six billion, six hundred sixty-seven million, six hundred seventy-one thousand, six hundred".