4671760084992 has 1664 divisors, whose sum is σ = 18848662640640. Its totient is φ = 1117952409600.

The previous prime is 4671760084967. The next prime is 4671760085009. The reversal of 4671760084992 is 2994800671764.

4671760084992 is a `hidden beast` number, since 4 + 6 + 7 + 17 + 600 + 8 + 4 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8966909692 + ... + 8966910212.

Almost surely, 2^{4671760084992} is an apocalyptic number.

4671760084992 is a gapful number since it is divisible by the number (42) 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 4671760084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424331320320).

4671760084992 is an abundant number, since it is smaller than the sum of its proper divisors (14176902555648).

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

4671760084992 is an equidigital number, since it uses as much as digits as its factorization.

4671760084992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 4671760084992 in words is "four trillion, six hundred seventy-one billion, seven hundred sixty million, eighty-four thousand, nine hundred ninety-two".