673174616400 has 480 divisors, whose sum is σ = 2814891085440. Its totient is φ = 150640128000.

The previous prime is 673174616371. The next prime is 673174616423. The reversal of 673174616400 is 4616471376.

673174616400 is a `hidden beast` number, since 6 + 73 + 174 + 6 + 1 + 6 + 400 = 666.

673174616400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1326460 + ... + 1762340.

It is an arithmetic number, because the mean of its divisors is an integer number (5864356428).

Almost surely, 2^673174616400 is an apocalyptic number.

673174616400 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 673174616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407445542720).

673174616400 is an abundant number, since it is smaller than the sum of its proper divisors (2141716469040).

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

673174616400 is a wasteful number, since it uses less digits than its factorization.

673174616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435932 (or 435915 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 673174616400 in words is "six hundred seventy-three billion, one hundred seventy-four million, six hundred sixteen thousand, four hundred".