674645913648 has 720 divisors, whose sum is σ = 2411853560064. Its totient is φ = 174739783680.

The previous prime is 674645913647. The next prime is 674645913671. The reversal of 674645913648 is 846319546476.

674645913648 is a `hidden beast` number, since 6 + 7 + 4 + 6 + 4 + 591 + 36 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (674645913647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1476249036 + ... + 1476249492.

Almost surely, 2^674645913648 is an apocalyptic number.

674645913648 is a gapful number since it is divisible by the number (68) 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 674645913648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205926780032).

674645913648 is an abundant number, since it is smaller than the sum of its proper divisors (1737207646416).

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

674645913648 is a wasteful number, since it uses less digits than its factorization.

674645913648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 914 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 674645913648 in words is "six hundred seventy-four billion, six hundred forty-five million, nine hundred thirteen thousand, six hundred forty-eight".