643760619264 has 432 divisors, whose sum is σ = 2237251860480. Its totient is φ = 173913661440.

The previous prime is 643760619263. The next prime is 643760619347. The reversal of 643760619264 is 462916067346.

It is a happy number.

643760619264 is a `hidden beast` number, since 6 + 4 + 3 + 7 + 606 + 1 + 9 + 26 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 643760619264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643760619263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186002494 + ... + 186005954.

Almost surely, 2^643760619264 is an apocalyptic number.

643760619264 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 643760619264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118625930240).

643760619264 is an abundant number, since it is smaller than the sum of its proper divisors (1593491241216).

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

643760619264 is a wasteful number, since it uses less digits than its factorization.

643760619264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 643760619264 in words is "six hundred forty-three billion, seven hundred sixty million, six hundred nineteen thousand, two hundred sixty-four".