672838260864 has 512 divisors, whose sum is σ = 2284216657920. Its totient is φ = 171842457600.

The previous prime is 672838260847. The next prime is 672838260877. The reversal of 672838260864 is 468062838276.

It is a super-2 number, since 2×672838260864² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 672838260798 and 672838260807.

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 63 ways as a sum of consecutive naturals, for example, 218239867 + ... + 218242949.

It is an arithmetic number, because the mean of its divisors is an integer number (4461360660).

Almost surely, 2^672838260864 is an apocalyptic number.

672838260864 is a gapful number since it is divisible by the number (64) 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 672838260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142108328960).

672838260864 is an abundant number, since it is smaller than the sum of its proper divisors (1611378397056).

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

672838260864 is a wasteful number, since it uses less digits than its factorization.

672838260864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 672838260864 in words is "six hundred seventy-two billion, eight hundred thirty-eight million, two hundred sixty thousand, eight hundred sixty-four".