674460552960 has 288 divisors, whose sum is σ = 2519368992000. Its totient is φ = 170389868544.

The previous prime is 674460552947. The next prime is 674460552967. The reversal of 674460552960 is 69255064476.

674460552960 is a `hidden beast` number, since 6 + 7 + 4 + 4 + 605 + 5 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 674460552897 and 674460552906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674460552967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143071 + ... + 1170209.

It is an arithmetic number, because the mean of its divisors is an integer number (8747809000).

Almost surely, 2^674460552960 is an apocalyptic number.

674460552960 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 674460552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259684496000).

674460552960 is an abundant number, since it is smaller than the sum of its proper divisors (1844908439040).

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

674460552960 is a wasteful number, since it uses less digits than its factorization.

674460552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027188 (or 1027168 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 674460552960 in words is "six hundred seventy-four billion, four hundred sixty million, five hundred fifty-two thousand, nine hundred sixty".