672177139200 has 1800 divisors, whose sum is σ = 2944907489304. Its totient is φ = 150958080000.

The previous prime is 672177139171. The next prime is 672177139201. The reversal of 672177139200 is 2931771276.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672177139201) 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 179 ways as a sum of consecutive naturals, for example, 5131123135 + ... + 5131123265.

Almost surely, 2^672177139200 is an apocalyptic number.

672177139200 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 672177139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472453744652).

672177139200 is an abundant number, since it is smaller than the sum of its proper divisors (2272730350104).

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

672177139200 is a wasteful number, since it uses less digits than its factorization.

672177139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 672177139200 in words is "six hundred seventy-two billion, one hundred seventy-seven million, one hundred thirty-nine thousand, two hundred".