672148044824256 has 3360 divisors, whose sum is σ = 2765265853109760. Its totient is φ = 156699662745600.

The previous prime is 672148044824213. The next prime is 672148044824279. The reversal of 672148044824256 is 652428440841276.

672148044824256 is a `hidden beast` number, since 6 + 7 + 2 + 14 + 80 + 44 + 82 + 425 + 6 = 666.

It is a super-2 number, since 2×672148044824256² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 672148044824193 and 672148044824202.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 386070099546 + ... + 386070101286.

It is an arithmetic number, because the mean of its divisors is an integer number (822995789616).

Almost surely, 2^{672148044824256} is an apocalyptic number.

672148044824256 is a gapful number since it is divisible by the number (66) 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 672148044824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382632926554880).

672148044824256 is an abundant number, since it is smaller than the sum of its proper divisors (2093117808285504).

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

672148044824256 is a wasteful number, since it uses less digits than its factorization.

672148044824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 672148044824256 in words is "six hundred seventy-two trillion, one hundred forty-eight billion, forty-four million, eight hundred twenty-four thousand, two hundred fifty-six".