672505666560 has 1408 divisors, whose sum is σ = 3004275456000. Its totient is φ = 141761249280.

The previous prime is 672505666537. The next prime is 672505666571. The reversal of 672505666560 is 65666505276.

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 = 672505666497 and 672505666506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 616411615 + ... + 616412705.

Almost surely, 2^672505666560 is an apocalyptic number.

672505666560 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 672505666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502137728000).

672505666560 is an abundant number, since it is smaller than the sum of its proper divisors (2331769789440).

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

672505666560 is a wasteful number, since it uses less digits than its factorization.

672505666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 672505666560 in words is "six hundred seventy-two billion, five hundred five million, six hundred sixty-six thousand, five hundred sixty".