643676156480448 has 1344 divisors, whose sum is σ = 2470831351252992. Its totient is φ = 161481238364160.

The previous prime is 643676156480411. The next prime is 643676156480503. The reversal of 643676156480448 is 844084651676346.

643676156480448 is a `hidden beast` number, since 6 + 4 + 3 + 67 + 61 + 5 + 64 + 8 + 0 + 448 = 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5891556190 + ... + 5891665442.

It is an arithmetic number, because the mean of its divisors is an integer number (1838416183968).

Almost surely, 2^{643676156480448} 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 643676156480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235415675626496).

643676156480448 is an abundant number, since it is smaller than the sum of its proper divisors (1827155194772544).

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

643676156480448 is a wasteful number, since it uses less digits than its factorization.

643676156480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109504 (or 109482 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 72.

The spelling of 643676156480448 in words is "six hundred forty-three trillion, six hundred seventy-six billion, one hundred fifty-six million, four hundred eighty thousand, four hundred forty-eight".