4680311025600 has 2016 divisors, whose sum is σ = 20414959358976. Its totient is φ = 1032553267200.

The previous prime is 4680311025587. The next prime is 4680311025601. The reversal of 4680311025600 is 65201130864.

It is a happy number.

4680311025600 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 31 + 10 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×4680311025600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680311025601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10241380572 + ... + 10241381028.

It is an arithmetic number, because the mean of its divisors is an integer number (10126467936).

Almost surely, 2^{4680311025600} is an apocalyptic number.

4680311025600 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 4680311025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207479679488).

4680311025600 is an abundant number, since it is smaller than the sum of its proper divisors (15734648333376).

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

4680311025600 is a wasteful number, since it uses less digits than its factorization.

4680311025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 4680311025600 in words is "four trillion, six hundred eighty billion, three hundred eleven million, twenty-five thousand, six hundred".