66103262420400 has 720 divisors, whose sum is σ = 245652213680640. Its totient is φ = 16402524364800.

The previous prime is 66103262420369. The next prime is 66103262420431. The reversal of 66103262420400 is 402426230166.

66103262420400 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 3 + 2 + 6 + 242 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (66103262420369) and next prime (66103262420431).

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 (36).

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, 3977563291 + ... + 3977579909.

It is an arithmetic number, because the mean of its divisors is an integer number (341183630112).

Almost surely, 2^{66103262420400} is an apocalyptic number.

66103262420400 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 66103262420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122826106840320).

66103262420400 is an abundant number, since it is smaller than the sum of its proper divisors (179548951260240).

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

66103262420400 is a wasteful number, since it uses less digits than its factorization.

66103262420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17394 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 66103262420400 its reverse (402426230166), we get a palindrome (66505688650566).

The spelling of 66103262420400 in words is "sixty-six trillion, one hundred three billion, two hundred sixty-two million, four hundred twenty thousand, four hundred".