673928353152 has 256 divisors, whose sum is σ = 2027261016000. Its totient is φ = 220365619200.

The previous prime is 673928353139. The next prime is 673928353201. The reversal of 673928353152 is 251353829376.

673928353152 is a `hidden beast` number, since 6 + 7 + 39 + 28 + 3 + 531 + 52 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38038248 + ... + 38055960.

Almost surely, 2^673928353152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673928353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013630508000).

673928353152 is an abundant number, since it is smaller than the sum of its proper divisors (1353332662848).

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

673928353152 is a wasteful number, since it uses less digits than its factorization.

673928353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17946 (or 17928 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 673928353152 in words is "six hundred seventy-three billion, nine hundred twenty-eight million, three hundred fifty-three thousand, one hundred fifty-two".