672331835169792 has 1980 divisors, whose sum is σ = 2531351300087376. Its totient is φ = 171244988006400.

The previous prime is 672331835169791. The next prime is 672331835169803. The reversal of 672331835169792 is 297961538133276.

672331835169792 is a `hidden beast` number, since 6 + 7 + 2 + 3 + 3 + 18 + 3 + 516 + 9 + 7 + 92 = 666.

It is a super-5 number, since 5×672331835169792⁵ (a number of 75 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 672331835169792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672331835169791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 135797176917 + ... + 135797181867.

Almost surely, 2^{672331835169792} 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 672331835169792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265675650043688).

672331835169792 is an abundant number, since it is smaller than the sum of its proper divisors (1859019464917584).

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

672331835169792 is a wasteful number, since it uses less digits than its factorization.

672331835169792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 4999 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 672331835169792 in words is "six hundred seventy-two trillion, three hundred thirty-one billion, eight hundred thirty-five million, one hundred sixty-nine thousand, seven hundred ninety-two".