4747976766720 has 504 divisors, whose sum is σ = 18601711283232. Its totient is φ = 1151022182400.

The previous prime is 4747976766713. The next prime is 4747976766781. The reversal of 4747976766720 is 276676797474.

4747976766720 is a `hidden beast` number, since 4 + 7 + 479 + 7 + 6 + 76 + 67 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10033035 + ... + 10495605.

It is an arithmetic number, because the mean of its divisors is an integer number (36908157308).

Almost surely, 2^{4747976766720} is an apocalyptic number.

4747976766720 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 4747976766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300855641616).

4747976766720 is an abundant number, since it is smaller than the sum of its proper divisors (13853734516512).

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

4747976766720 is an equidigital number, since it uses as much as digits as its factorization.

4747976766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462621 (or 462592 counting only the distinct ones).

The product of its (nonzero) digits is 1045529856, while the sum is 72.

The spelling of 4747976766720 in words is "four trillion, seven hundred forty-seven billion, nine hundred seventy-six million, seven hundred sixty-six thousand, seven hundred twenty".