4673489890608 has 480 divisors, whose sum is σ = 16895729889792. Its totient is φ = 1170621849600.

The previous prime is 4673489890579. The next prime is 4673489890609. The reversal of 4673489890608 is 8060989843764.

4673489890608 is a `hidden beast` number, since 4 + 6 + 7 + 3 + 4 + 8 + 9 + 8 + 9 + 0 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4673489890609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46308523 + ... + 46409333.

Almost surely, 2^{4673489890608} is an apocalyptic number.

4673489890608 is a gapful number since it is divisible by the number (48) 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 4673489890608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8447864944896).

4673489890608 is an abundant number, since it is smaller than the sum of its proper divisors (12222239999184).

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

4673489890608 is a wasteful number, since it uses less digits than its factorization.

4673489890608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100993 (or 100984 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 4673489890608 in words is "four trillion, six hundred seventy-three billion, four hundred eighty-nine million, eight hundred ninety thousand, six hundred eight".