4864970880 has 576 divisors, whose sum is σ = 21332263680. Its totient is φ = 1010257920.

The previous prime is 4864970857. The next prime is 4864970911. The reversal of 4864970880 is 880794684.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3103857 + ... + 3105423.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 2^4864970880 is an apocalyptic number.

4864970880 is a gapful number since it is divisible by the number (40) 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 4864970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666131840).

4864970880 is an abundant number, since it is smaller than the sum of its proper divisors (16467292800).

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

4864970880 is a wasteful number, since it uses less digits than its factorization.

4864970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4864970880 is about 69749.3432227143. The cubic root of 4864970880 is about 1694.4421585596.

The spelling of 4864970880 in words is "four billion, eight hundred sixty-four million, nine hundred seventy thousand, eight hundred eighty".