643433269248 has 1344 divisors, whose sum is σ = 2500738531200. Its totient is φ = 160526499840.

The previous prime is 643433269247. The next prime is 643433269253. The reversal of 643433269248 is 842962334346.

643433269248 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 332 + 69 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 643433269194 and 643433269203.

It is not an unprimeable number, because it can be changed into a prime (643433269247) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3333851040 + ... + 3333851232.

It is an arithmetic number, because the mean of its divisors is an integer number (1860668550).

Almost surely, 2^643433269248 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 643433269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250369265600).

643433269248 is an abundant number, since it is smaller than the sum of its proper divisors (1857305261952).

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

643433269248 is a wasteful number, since it uses less digits than its factorization.

643433269248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 245 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 643433269248 in words is "six hundred forty-three billion, four hundred thirty-three million, two hundred sixty-nine thousand, two hundred forty-eight".