672141957984 has 864 divisors, whose sum is σ = 2428113542400. Its totient is φ = 182098990080.

The previous prime is 672141957983. The next prime is 672141957989. The reversal of 672141957984 is 489759141276.

672141957984 is a `hidden beast` number, since 6 + 72 + 1 + 419 + 5 + 79 + 84 = 666.

672141957984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672141957983) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 651931549 + ... + 651932579.

It is an arithmetic number, because the mean of its divisors is an integer number (2810316600).

Almost surely, 2^672141957984 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 672141957984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214056771200).

672141957984 is an abundant number, since it is smaller than the sum of its proper divisors (1755971584416).

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

672141957984 is a wasteful number, since it uses less digits than its factorization.

672141957984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1131 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 672141957984 in words is "six hundred seventy-two billion, one hundred forty-one million, nine hundred fifty-seven thousand, nine hundred eighty-four".