4761734979600 has 495 divisors, whose sum is σ = 17198308957303. Its totient is φ = 1266967941120.

The previous prime is 4761734979457. The next prime is 4761734979601. The reversal of 4761734979600 is 69794371674.

The square root of 4761734979600 is 2182140.

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

4761734979600 is a `hidden beast` number, since 4 + 7 + 6 + 17 + 3 + 4 + 9 + 7 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4241135376 + 4757493844224 = 65124^2 + 2181168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4761734979601) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 10605200176 + ... + 10605200624.

Almost surely, 2^{4761734979600} is an apocalyptic number.

4761734979600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4761734979600 is the 2182140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761734979600

4761734979600 is an abundant number, since it is smaller than the sum of its proper divisors (12436573977703).

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

4761734979600 is an frugal number, since it uses more digits than its factorization.

4761734979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 4761734979600 in words is "four trillion, seven hundred sixty-one billion, seven hundred thirty-four million, nine hundred seventy-nine thousand, six hundred".