673271640 has 384 divisors, whose sum is σ = 2451271680. Its totient is φ = 159667200.

The previous prime is 673271639. The next prime is 673271657. The reversal of 673271640 is 46172376.

673271640 is a `hidden beast` number, since 6 + 7 + 3 + 2 + 7 + 1 + 640 = 666.

673271640 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 673271595 and 673271604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11037210 + ... + 11037270.

It is an arithmetic number, because the mean of its divisors is an integer number (6383520).

Almost surely, 2^673271640 is an apocalyptic number.

673271640 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 673271640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225635840).

673271640 is an abundant number, since it is smaller than the sum of its proper divisors (1778000040).

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

673271640 is a wasteful number, since it uses less digits than its factorization.

673271640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 673271640 is about 25947.4784902117. The cubic root of 673271640 is about 876.4559770371.

The spelling of 673271640 in words is "six hundred seventy-three million, two hundred seventy-one thousand, six hundred forty".