4864673760 has 192 divisors, whose sum is σ = 16749379584. Its totient is φ = 1181491200.

The previous prime is 4864673707. The next prime is 4864673809. The reversal of 4864673760 is 673764684.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243345 + ... + 262575.

It is an arithmetic number, because the mean of its divisors is an integer number (87236352).

Almost surely, 2^4864673760 is an apocalyptic number.

4864673760 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 4864673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374689792).

4864673760 is an abundant number, since it is smaller than the sum of its proper divisors (11884705824).

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

4864673760 is a wasteful number, since it uses less digits than its factorization.

4864673760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19297 (or 19289 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The square root of 4864673760 is about 69747.2132776644. The cubic root of 4864673760 is about 1694.4076627791.

The spelling of 4864673760 in words is "four billion, eight hundred sixty-four million, six hundred seventy-three thousand, seven hundred sixty".