4879689070464 has 1280 divisors, whose sum is σ = 16875609569280. Its totient is φ = 1388020727808.

The previous prime is 4879689070463. The next prime is 4879689070483. The reversal of 4879689070464 is 4640709869784.

4879689070464 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 6 + 8 + 90 + 70 + 464 = 666.

It is a super-2 number, since 2×4879689070464² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4879689070392 and 4879689070401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879689070463) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15590060772 + ... + 15590061084.

It is an arithmetic number, because the mean of its divisors is an integer number (13184069976).

Almost surely, 2^{4879689070464} 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 4879689070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8437804784640).

4879689070464 is an abundant number, since it is smaller than the sum of its proper divisors (11995920498816).

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

4879689070464 is a wasteful number, since it uses less digits than its factorization.

4879689070464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 4879689070464 in words is "four trillion, eight hundred seventy-nine billion, six hundred eighty-nine million, seventy thousand, four hundred sixty-four".