4680060000 has 480 divisors, whose sum is σ = 19158467328. Its totient is φ = 971520000.

The previous prime is 4680059981. The next prime is 4680060013. The reversal of 4680060000 is 600864.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4619494 + ... + 4620506.

Almost surely, 2^4680060000 is an apocalyptic number.

4680060000 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 4680060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579233664).

4680060000 is an abundant number, since it is smaller than the sum of its proper divisors (14478407328).

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

4680060000 is a wasteful number, since it uses less digits than its factorization.

4680060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4680060000 is about 68410.9640335524. The cubic root of 4680060000 is about 1672.6964696883.

Adding to 4680060000 its reverse (600864), we get a palindrome (4680660864).

The spelling of 4680060000 in words is "four billion, six hundred eighty million, sixty thousand".