4680495705600 has 2880 divisors, whose sum is σ = 21642737276160. Its totient is φ = 984180326400.

The previous prime is 4680495705593. The next prime is 4680495705623. The reversal of 4680495705600 is 65075940864.

4680495705600 is a `hidden beast` number, since 4 + 6 + 8 + 0 + 4 + 9 + 5 + 70 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 7561382091 + ... + 7561382709.

It is an arithmetic number, because the mean of its divisors is an integer number (7514839332).

Almost surely, 2^{4680495705600} is an apocalyptic number.

4680495705600 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 4680495705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821368638080).

4680495705600 is an abundant number, since it is smaller than the sum of its proper divisors (16962241570560).

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

4680495705600 is a wasteful number, since it uses less digits than its factorization.

4680495705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4680495705600 in words is "four trillion, six hundred eighty billion, four hundred ninety-five million, seven hundred five thousand, six hundred".