674325006062400 has 6048 divisors, whose sum is σ = 3359404884326400. Its totient is φ = 127563448320000.

The previous prime is 674325006062287. The next prime is 674325006062509. The reversal of 674325006062400 is 4260600523476.

674325006062400 is a `hidden beast` number, since 6 + 7 + 4 + 32 + 5 + 0 + 0 + 606 + 2 + 4 + 0 + 0 = 666.

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 863 ways as a sum of consecutive naturals, for example, 314957965330 + ... + 314957967470.

It is an arithmetic number, because the mean of its divisors is an integer number (555457156800).

Almost surely, 2^{674325006062400} is an apocalyptic number.

674325006062400 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 674325006062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679702442163200).

674325006062400 is an abundant number, since it is smaller than the sum of its proper divisors (2685079878264000).

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

674325006062400 is a wasteful number, since it uses less digits than its factorization.

674325006062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 674325006062400 its reverse (4260600523476), we get a palindrome (678585606585876).

The spelling of 674325006062400 in words is "six hundred seventy-four trillion, three hundred twenty-five billion, six million, sixty-two thousand, four hundred".