674436932523648 has 640 divisors, whose sum is σ = 2372494800614400. Its totient is φ = 186113575895040.

The previous prime is 674436932523647. The next prime is 674436932523677. The reversal of 674436932523648 is 846325239634476.

674436932523648 is a `hidden beast` number, since 6 + 7 + 4 + 4 + 3 + 6 + 9 + 3 + 252 + 364 + 8 = 666.

It is a super-3 number, since 3×674436932523648³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (674436932523647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1144882236 + ... + 1145471172.

It is an arithmetic number, because the mean of its divisors is an integer number (3707023125960).

Almost surely, 2^{674436932523648} 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 674436932523648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186247400307200).

674436932523648 is an abundant number, since it is smaller than the sum of its proper divisors (1698057868090752).

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

674436932523648 is a wasteful number, since it uses less digits than its factorization.

674436932523648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589510 (or 589489 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 72.

The spelling of 674436932523648 in words is "six hundred seventy-four trillion, four hundred thirty-six billion, nine hundred thirty-two million, five hundred twenty-three thousand, six hundred forty-eight".