4880268717696 has 256 divisors, whose sum is σ = 14670264240000. Its totient is φ = 1596720660480.

The previous prime is 4880268717689. The next prime is 4880268717697. The reversal of 4880268717696 is 6967178620884.

4880268717696 is a `hidden beast` number, since 488 + 0 + 2 + 6 + 8 + 71 + 76 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4880268717697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134762440 + ... + 134798648.

Almost surely, 2^{4880268717696} 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 4880268717696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335132120000).

4880268717696 is an abundant number, since it is smaller than the sum of its proper divisors (9789995522304).

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

4880268717696 is a wasteful number, since it uses less digits than its factorization.

4880268717696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36952 (or 36934 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 4880268717696 in words is "four trillion, eight hundred eighty billion, two hundred sixty-eight million, seven hundred seventeen thousand, six hundred ninety-six".