4917749760000 has 3375 divisors, whose sum is σ = 23474674658127. Its totient is φ = 1021870080000.

The previous prime is 4917749759959. The next prime is 4917749760071. The reversal of 4917749760000 is 679477194.

The square root of 4917749760000 is 2217600.

It is a perfect power (a square), and thus also a powerful number.

4917749760000 is a `hidden beast` number, since 4 + 91 + 7 + 7 + 497 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385551581184 + 4532198178816 = 620928^2 + 2128896^2 .

It is a tau number, because it is divible by the number of its divisors (3375).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 447068159995 + ... + 447068160005.

Almost surely, 2^{4917749760000} is an apocalyptic number.

4917749760000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4917749760000 is the 2217600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4917749760000

4917749760000 is an abundant number, since it is smaller than the sum of its proper divisors (18556924898127).

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

4917749760000 is an frugal number, since it uses more digits than its factorization.

4917749760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 4917749760000 in words is "four trillion, nine hundred seventeen billion, seven hundred forty-nine million, seven hundred sixty thousand".