948663696640 has 432 divisors, whose sum is σ = 2619148307328. Its totient is φ = 328345600000.

The previous prime is 948663696623. The next prime is 948663696641. The reversal of 948663696640 is 46696366849.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948663696641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894121710 + ... + 894122770.

It is an arithmetic number, because the mean of its divisors is an integer number (6062843304).

Almost surely, 2^948663696640 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 948663696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309574153664).

948663696640 is an abundant number, since it is smaller than the sum of its proper divisors (1670484610688).

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

948663696640 is a wasteful number, since it uses less digits than its factorization.

948663696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 67.

The spelling of 948663696640 in words is "nine hundred forty-eight billion, six hundred sixty-three million, six hundred ninety-six thousand, six hundred forty".