668517480 has 192 divisors, whose sum is σ = 2304806400. Its totient is φ = 167754240.

The previous prime is 668517467. The next prime is 668517481. The reversal of 668517480 is 84715866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (668517481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412111 + ... + 413729.

It is an arithmetic number, because the mean of its divisors is an integer number (12004200).

Almost surely, 2^668517480 is an apocalyptic number.

668517480 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 668517480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152403200).

668517480 is an abundant number, since it is smaller than the sum of its proper divisors (1636288920).

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

668517480 is a wasteful number, since it uses less digits than its factorization.

668517480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 668517480 is about 25855.7049797525. The cubic root of 668517480 is about 874.3881349593.

The spelling of 668517480 in words is "six hundred sixty-eight million, five hundred seventeen thousand, four hundred eighty".