669934417711104 has 2184 divisors, whose sum is σ = 2575150403223552. Its totient is φ = 172555954421760.

The previous prime is 669934417711063. The next prime is 669934417711123. The reversal of 669934417711104 is 401117714439966.

669934417711104 is a `hidden beast` number, since 6 + 6 + 9 + 9 + 3 + 441 + 7 + 71 + 110 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

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 167 ways as a sum of consecutive naturals, for example, 81789083649 + ... + 81789091839.

Almost surely, 2^{669934417711104} is an apocalyptic number.

669934417711104 is a gapful number since it is divisible by the number (64) 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 669934417711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287575201611776).

669934417711104 is an abundant number, since it is smaller than the sum of its proper divisors (1905215985512448).

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

669934417711104 is an equidigital number, since it uses as much as digits as its factorization.

669934417711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 669934417711104 in words is "six hundred sixty-nine trillion, nine hundred thirty-four billion, four hundred seventeen million, seven hundred eleven thousand, one hundred four".