668238480 has 720 divisors, whose sum is σ = 2963810304. Its totient is φ = 133539840.

The previous prime is 668238451. The next prime is 668238491. The reversal of 668238480 is 84832866.

It is a happy number.

668238480 is a `hidden beast` number, since 66 + 82 + 38 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14217817 + ... + 14217863.

Almost surely, 2^668238480 is an apocalyptic number.

668238480 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 668238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481905152).

668238480 is an abundant number, since it is smaller than the sum of its proper divisors (2295571824).

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

668238480 is a wasteful number, since it uses less digits than its factorization.

668238480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 668238480 is about 25850.3090890612. The cubic root of 668238480 is about 874.2664785867.

The spelling of 668238480 in words is "six hundred sixty-eight million, two hundred thirty-eight thousand, four hundred eighty".