4686077880 has 256 divisors, whose sum is σ = 18043430400. Its totient is φ = 1069148160.

The previous prime is 4686077867. The next prime is 4686077927. The reversal of 4686077880 is 887706864.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190359 + ... + 213561.

It is an arithmetic number, because the mean of its divisors is an integer number (70482150).

Almost surely, 2^4686077880 is an apocalyptic number.

4686077880 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 4686077880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9021715200).

4686077880 is an abundant number, since it is smaller than the sum of its proper divisors (13357352520).

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

4686077880 is a wasteful number, since it uses less digits than its factorization.

4686077880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23251 (or 23241 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 4686077880 is about 68454.9332042622. The cubic root of 4686077880 is about 1673.4131111558.

The spelling of 4686077880 in words is "four billion, six hundred eighty-six million, seventy-seven thousand, eight hundred eighty".