6671918400 has 504 divisors, whose sum is σ = 26821363680. Its totient is φ = 1443778560.

The previous prime is 6671918389. The next prime is 6671918411. The reversal of 6671918400 is 48191766.

It is an interprime number because it is at equal distance from previous prime (6671918389) and next prime (6671918411).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4468054 + ... + 4469546.

Almost surely, 2^6671918400 is an apocalyptic number.

6671918400 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 6671918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13410681840).

6671918400 is an abundant number, since it is smaller than the sum of its proper divisors (20149445280).

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

6671918400 is a wasteful number, since it uses less digits than its factorization.

6671918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 6671918400 is about 81681.8119289723. The cubic root of 6671918400 is about 1882.5661350747.

The spelling of 6671918400 in words is "six billion, six hundred seventy-one million, nine hundred eighteen thousand, four hundred".