673863240960 has 1296 divisors, whose sum is σ = 2940846002640. Its totient is φ = 141203865600.

The previous prime is 673863240901. The next prime is 673863240979. The reversal of 673863240960 is 69042368376.

673863240960 is a `hidden beast` number, since 6 + 73 + 86 + 32 + 409 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73523407104 + 600339833856 = 271152^2 + 774816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 673863240897 and 673863240906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1680456760 + ... + 1680457160.

Almost surely, 2^673863240960 is an apocalyptic number.

673863240960 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 673863240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470423001320).

673863240960 is an abundant number, since it is smaller than the sum of its proper divisors (2266982761680).

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

673863240960 is a wasteful number, since it uses less digits than its factorization.

673863240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 673863240960 in words is "six hundred seventy-three billion, eight hundred sixty-three million, two hundred forty thousand, nine hundred sixty".