4966575989760 has 1848 divisors, whose sum is σ = 22453467801408. Its totient is φ = 1031358873600.

The previous prime is 4966575989699. The next prime is 4966575989789. The reversal of 4966575989760 is 679895756694.

4966575989760 is a `hidden beast` number, since 496 + 6 + 5 + 7 + 59 + 8 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 4966575989760.

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 167 ways as a sum of consecutive naturals, for example, 3161409775 + ... + 3161411345.

Almost surely, 2^{4966575989760} is an apocalyptic number.

4966575989760 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 4966575989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11226733900704).

4966575989760 is an abundant number, since it is smaller than the sum of its proper divisors (17486891811648).

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

4966575989760 is a wasteful number, since it uses less digits than its factorization.

4966575989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 6172588800, while the sum is 81.

The spelling of 4966575989760 in words is "four trillion, nine hundred sixty-six billion, five hundred seventy-five million, nine hundred eighty-nine thousand, seven hundred sixty".