643823292996 has 297 divisors, whose sum is σ = 1844551945341. Its totient is φ = 196539636384.

The previous prime is 643823292989. The next prime is 643823293019. The reversal of 643823292996 is 699292328346.

The square root of 643823292996 is 802386.

It is a perfect power (a square), and thus also a powerful number.

643823292996 is a `hidden beast` number, since 6 + 438 + 23 + 2 + 92 + 9 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95240132100 + 548583160896 = 308610^2 + 740664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 5069474685 + ... + 5069474811.

Almost surely, 2^643823292996 is an apocalyptic number.

643823292996 is the 802386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643823292996

643823292996 is an abundant number, since it is smaller than the sum of its proper divisors (1200728652345).

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

643823292996 is an equidigital number, since it uses as much as digits as its factorization.

643823292996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 145 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 643823292996 in words is "six hundred forty-three billion, eight hundred twenty-three million, two hundred ninety-two thousand, nine hundred ninety-six".