4688876160 has 320 divisors, whose sum is σ = 16883856000. Its totient is φ = 1240012800.

The previous prime is 4688876149. The next prime is 4688876173. The reversal of 4688876160 is 616788864.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4688876097 and 4688876106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7827541 + ... + 7828139.

It is an arithmetic number, because the mean of its divisors is an integer number (52762050).

Almost surely, 2^4688876160 is an apocalyptic number.

4688876160 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 4688876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441928000).

4688876160 is an abundant number, since it is smaller than the sum of its proper divisors (12194979840).

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

4688876160 is a wasteful number, since it uses less digits than its factorization.

4688876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 760 counting only the distinct ones).

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

The square root of 4688876160 is about 68475.3690022916. The cubic root of 4688876160 is about 1673.7461363983.

The spelling of 4688876160 in words is "four billion, six hundred eighty-eight million, eight hundred seventy-six thousand, one hundred sixty".