667554720 has 192 divisors, whose sum is σ = 2443343616. Its totient is φ = 150036480.

The previous prime is 667554697. The next prime is 667554739. The reversal of 667554720 is 27455766.

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

It is an unprimeable number.

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, 203332 + ... + 206588.

It is an arithmetic number, because the mean of its divisors is an integer number (12725748).

Almost surely, 2^667554720 is an apocalyptic number.

667554720 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 667554720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221671808).

667554720 is an abundant number, since it is smaller than the sum of its proper divisors (1775788896).

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

667554720 is a wasteful number, since it uses less digits than its factorization.

667554720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 667554720 is about 25837.0803304089. The cubic root of 667554720 is about 873.9681856506.

The spelling of 667554720 in words is "six hundred sixty-seven million, five hundred fifty-four thousand, seven hundred twenty".