948799272960 has 2304 divisors, whose sum is σ = 4474397491200. Its totient is φ = 179955302400.

The previous prime is 948799272943. The next prime is 948799272977. The reversal of 948799272960 is 69272997849.

948799272960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (948799272943) and next prime (948799272977).

It is a tau number, because it is divible by the number of its divisors (2304).

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, 4179732367 + ... + 4179732593.

It is an arithmetic number, because the mean of its divisors is an integer number (1942012800).

Almost surely, 2^948799272960 is an apocalyptic number.

948799272960 is a gapful number since it is divisible by the number (90) 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 948799272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237198745600).

948799272960 is an abundant number, since it is smaller than the sum of its proper divisors (3525598218240).

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

948799272960 is a wasteful number, since it uses less digits than its factorization.

948799272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 948799272960 in words is "nine hundred forty-eight billion, seven hundred ninety-nine million, two hundred seventy-two thousand, nine hundred sixty".