640430963527680 has 1040 divisors, whose sum is σ = 2473522858699200. Its totient is φ = 157571814260736.

The previous prime is 640430963527627. The next prime is 640430963527717. The reversal of 640430963527680 is 86725369034046.

640430963527680 is a `hidden beast` number, since 6 + 4 + 0 + 43 + 0 + 9 + 6 + 3 + 527 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58205117059 + ... + 58205128061.

Almost surely, 2^{640430963527680} is an apocalyptic number.

640430963527680 is a gapful number since it is divisible by the number (60) 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 640430963527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236761429349600).

640430963527680 is an abundant number, since it is smaller than the sum of its proper divisors (1833091895171520).

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

640430963527680 is a wasteful number, since it uses less digits than its factorization.

640430963527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13756 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 640430963527680 in words is "six hundred forty trillion, four hundred thirty billion, nine hundred sixty-three million, five hundred twenty-seven thousand, six hundred eighty".