673868432160 has 2304 divisors, whose sum is σ = 3149830914048. Its totient is φ = 131980492800.

The previous prime is 673868432147. The next prime is 673868432177. The reversal of 673868432160 is 61234868376.

673868432160 is a `hidden beast` number, since 6 + 7 + 386 + 8 + 43 + 216 + 0 = 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 = 673868432097 and 673868432106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4918747612 + ... + 4918747748.

It is an arithmetic number, because the mean of its divisors is an integer number (1367114112).

Almost surely, 2^673868432160 is an apocalyptic number.

673868432160 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 673868432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574915457024).

673868432160 is an abundant number, since it is smaller than the sum of its proper divisors (2475962481888).

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

673868432160 is a wasteful number, since it uses less digits than its factorization.

673868432160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 673868432160 in words is "six hundred seventy-three billion, eight hundred sixty-eight million, four hundred thirty-two thousand, one hundred sixty".