673534496880 has 480 divisors, whose sum is σ = 2716956103680. Its totient is φ = 146194329600.

The previous prime is 673534496863. The next prime is 673534496881. The reversal of 673534496880 is 88694435376.

673534496880 is a `hidden beast` number, since 6 + 7 + 3 + 53 + 449 + 68 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673534496881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16091980 + ... + 16133780.

It is an arithmetic number, because the mean of its divisors is an integer number (5660325216).

Almost surely, 2^673534496880 is an apocalyptic number.

673534496880 is a gapful number since it is divisible by the number (60) 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 673534496880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358478051840).

673534496880 is an abundant number, since it is smaller than the sum of its proper divisors (2043421606800).

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

673534496880 is a wasteful number, since it uses less digits than its factorization.

673534496880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41989 (or 41980 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

It can be divided in two parts, 673534496 and 880, that added together give a palindrome (673535376).

The spelling of 673534496880 in words is "six hundred seventy-three billion, five hundred thirty-four million, four hundred ninety-six thousand, eight hundred eighty".