667553376 has 192 divisors, whose sum is σ = 2068416000. Its totient is φ = 184590336.

The previous prime is 667553363. The next prime is 667553377. The reversal of 667553376 is 673355766.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667553377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4480150 + ... + 4480298.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2^667553376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667553376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208000).

667553376 is an abundant number, since it is smaller than the sum of its proper divisors (1400862624).

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

667553376 is a wasteful number, since it uses less digits than its factorization.

667553376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 48.

The square root of 667553376 is about 25837.0543212650. The cubic root of 667553376 is about 873.9675991249.

The spelling of 667553376 in words is "six hundred sixty-seven million, five hundred fifty-three thousand, three hundred seventy-six".