672293965824 has 1040 divisors, whose sum is σ = 2346744696912. Its totient is φ = 189913890816.

The previous prime is 672293965823. The next prime is 672293965853. The reversal of 672293965824 is 428569392276.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 61345382400 + 610948583424 = 247680^2 + 781632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672293965823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3886092202 + ... + 3886092374.

Almost surely, 2^672293965824 is an apocalyptic number.

672293965824 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 672293965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173372348456).

672293965824 is an abundant number, since it is smaller than the sum of its proper divisors (1674450731088).

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

672293965824 is a wasteful number, since it uses less digits than its factorization.

672293965824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 261 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 672293965824 in words is "six hundred seventy-two billion, two hundred ninety-three million, nine hundred sixty-five thousand, eight hundred twenty-four".