8948364768 has 288 divisors, whose sum is σ = 30277158912. Its totient is φ = 2453068800.

The previous prime is 8948364757. The next prime is 8948364769. The reversal of 8948364768 is 8674638498.

8948364768 is a `hidden beast` number, since 89 + 4 + 83 + 6 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8948364769) 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, 8186430 + ... + 8187522.

It is an arithmetic number, because the mean of its divisors is an integer number (105129024).

Almost surely, 2^8948364768 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 8948364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15138579456).

8948364768 is an abundant number, since it is smaller than the sum of its proper divisors (21328794144).

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

8948364768 is a wasteful number, since it uses less digits than its factorization.

8948364768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1267 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The square root of 8948364768 is about 94595.7967776581. The cubic root of 8948364768 is about 2076.0982055629.

The spelling of 8948364768 in words is "eight billion, nine hundred forty-eight million, three hundred sixty-four thousand, seven hundred sixty-eight".