4686100960 has 192 divisors, whose sum is σ = 11914076160. Its totient is φ = 1737809920.

The previous prime is 4686100933. The next prime is 4686100961. The reversal of 4686100960 is 690016864.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4686100961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24534465 + ... + 24534655.

It is an arithmetic number, because the mean of its divisors is an integer number (62052480).

Almost surely, 2^4686100960 is an apocalyptic number.

4686100960 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 4686100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957038080).

4686100960 is an abundant number, since it is smaller than the sum of its proper divisors (7227975200).

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

4686100960 is a wasteful number, since it uses less digits than its factorization.

4686100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 4686100960 is about 68455.1017821170. The cubic root of 4686100960 is about 1673.4158584648.

The spelling of 4686100960 in words is "four billion, six hundred eighty-six million, one hundred thousand, nine hundred sixty".