668462279940 has 768 divisors, whose sum is σ = 2727868416000. Its totient is φ = 133600015872.

The previous prime is 668462279929. The next prime is 668462279981. The reversal of 668462279940 is 49972264866.

668462279940 is a `hidden beast` number, since 6 + 68 + 462 + 2 + 79 + 9 + 40 = 666.

668462279940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75622041 + ... + 75630879.

It is an arithmetic number, because the mean of its divisors is an integer number (3551912000).

Almost surely, 2^668462279940 is an apocalyptic number.

668462279940 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 668462279940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363934208000).

668462279940 is an abundant number, since it is smaller than the sum of its proper divisors (2059406136060).

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

668462279940 is a wasteful number, since it uses less digits than its factorization.

668462279940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8908 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 668462279940 in words is "six hundred sixty-eight billion, four hundred sixty-two million, two hundred seventy-nine thousand, nine hundred forty".