4680668160 has 528 divisors, whose sum is σ = 19378048320. Its totient is φ = 1068318720.

The previous prime is 4680668143. The next prime is 4680668273. The reversal of 4680668160 is 618660864.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6773415 + ... + 6774105.

Almost surely, 2^4680668160 is an apocalyptic number.

4680668160 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 4680668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689024160).

4680668160 is an abundant number, since it is smaller than the sum of its proper divisors (14697380160).

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

4680668160 is a wasteful number, since it uses less digits than its factorization.

4680668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4680668160 is about 68415.4087907103. The cubic root of 4680668160 is about 1672.7689205418.

The spelling of 4680668160 in words is "four billion, six hundred eighty million, six hundred sixty-eight thousand, one hundred sixty".