674513256960 has 1120 divisors, whose sum is σ = 2550430333440. Its totient is φ = 170798284800.

The previous prime is 674513256941. The next prime is 674513257007. The reversal of 674513256960 is 69652315476.

674513256960 is a `hidden beast` number, since 6 + 7 + 4 + 5 + 13 + 2 + 569 + 60 = 666.

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 = 674513256897 and 674513256906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5148956095 + ... + 5148956225.

Almost surely, 2^674513256960 is an apocalyptic number.

674513256960 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 674513256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275215166720).

674513256960 is an abundant number, since it is smaller than the sum of its proper divisors (1875917076480).

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

674513256960 is an equidigital number, since it uses as much as digits as its factorization.

674513256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 674513256960 in words is "six hundred seventy-four billion, five hundred thirteen million, two hundred fifty-six thousand, nine hundred sixty".