666113248070400 has 864 divisors, whose sum is σ = 2383084723440960. Its totient is φ = 162883530915840.

The previous prime is 666113248070339. The next prime is 666113248070401. The reversal of 666113248070400 is 4070842311666.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 666113248070400.

It is not an unprimeable number, because it can be changed into a prime (666113248070401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33092207536 + ... + 33092227664.

It is an arithmetic number, because the mean of its divisors is an integer number (2758199911390).

Almost surely, 2^{666113248070400} is an apocalyptic number.

666113248070400 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 666113248070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191542361720480).

666113248070400 is an abundant number, since it is smaller than the sum of its proper divisors (1716971475370560).

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

666113248070400 is a wasteful number, since it uses less digits than its factorization.

666113248070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21041 (or 21022 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 666113248070400 in words is "six hundred sixty-six trillion, one hundred thirteen billion, two hundred forty-eight million, seventy thousand, four hundred".