4754575687680 has 2560 divisors, whose sum is σ = 21826690744320. Its totient is φ = 963158999040.

The previous prime is 4754575687669. The next prime is 4754575687723. The reversal of 4754575687680 is 867865754574.

4754575687680 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 57 + 568 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4754575687599 and 4754575687608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37437603777 + ... + 37437603903.

It is an arithmetic number, because the mean of its divisors is an integer number (8526051072).

Almost surely, 2^{4754575687680} is an apocalyptic number.

4754575687680 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 4754575687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913345372160).

4754575687680 is an abundant number, since it is smaller than the sum of its proper divisors (17072115056640).

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

4754575687680 is a wasteful number, since it uses less digits than its factorization.

4754575687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1580544000, while the sum is 72.

The spelling of 4754575687680 in words is "four trillion, seven hundred fifty-four billion, five hundred seventy-five million, six hundred eighty-seven thousand, six hundred eighty".