6667315200 has 1152 divisors, whose sum is σ = 30710534400. Its totient is φ = 1380188160.

The previous prime is 6667315139. The next prime is 6667315201. The reversal of 6667315200 is 25137666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6667315201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125798374 + ... + 125798426.

It is an arithmetic number, because the mean of its divisors is an integer number (26658450).

Almost surely, 2^6667315200 is an apocalyptic number.

6667315200 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 6667315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355267200).

6667315200 is an abundant number, since it is smaller than the sum of its proper divisors (24043219200).

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

6667315200 is a wasteful number, since it uses less digits than its factorization.

6667315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6667315200 is about 81653.6294355615. The cubic root of 6667315200 is about 1882.1330851064.

The spelling of 6667315200 in words is "six billion, six hundred sixty-seven million, three hundred fifteen thousand, two hundred".