672724241000 has 256 divisors, whose sum is σ = 1897974374400. Its totient is φ = 218020896000.

The previous prime is 672724240963. The next prime is 672724241003. The reversal of 672724241000 is 142427276.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (672724241003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 62105585 + ... + 62116415.

It is an arithmetic number, because the mean of its divisors is an integer number (7413962400).

Almost surely, 2^672724241000 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 672724241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948987187200).

672724241000 is an abundant number, since it is smaller than the sum of its proper divisors (1225250133400).

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

672724241000 is a wasteful number, since it uses less digits than its factorization.

672724241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

Adding to 672724241000 its reverse (142427276), we get a palindrome (672866668276).

The spelling of 672724241000 in words is "six hundred seventy-two billion, seven hundred twenty-four million, two hundred forty-one thousand".