6672963150 has 288 divisors, whose sum is σ = 20978800128. Its totient is φ = 1489363200.

The previous prime is 6672963149. The next prime is 6672963161. The reversal of 6672963150 is 513692766.

6672963150 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 9 + 631 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6672963096 and 6672963105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42502872 + ... + 42503028.

It is an arithmetic number, because the mean of its divisors is an integer number (72843056).

Almost surely, 2^6672963150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6672963150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10489400064).

6672963150 is an abundant number, since it is smaller than the sum of its proper divisors (14305836978).

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

6672963150 is a wasteful number, since it uses less digits than its factorization.

6672963150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6672963150 is about 81688.2069211952. The cubic root of 6672963150 is about 1882.6643930869.

The spelling of 6672963150 in words is "six billion, six hundred seventy-two million, nine hundred sixty-three thousand, one hundred fifty".