673291906560 has 1600 divisors, whose sum is σ = 3066427736064. Its totient is φ = 137355264000.

The previous prime is 673291906531. The next prime is 673291906583. The reversal of 673291906560 is 65609192376.

673291906560 is a `hidden beast` number, since 6 + 73 + 2 + 9 + 1 + 9 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 673291906497 and 673291906506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 584961985 + ... + 584963135.

Almost surely, 2^673291906560 is an apocalyptic number.

673291906560 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 673291906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533213868032).

673291906560 is an abundant number, since it is smaller than the sum of its proper divisors (2393135829504).

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

673291906560 is a wasteful number, since it uses less digits than its factorization.

673291906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 673291906560 in words is "six hundred seventy-three billion, two hundred ninety-one million, nine hundred six thousand, five hundred sixty".