66418430400 has 252 divisors, whose sum is σ = 269791019472. Its totient is φ = 15181332480.

The previous prime is 66418430363. The next prime is 66418430417. The reversal of 66418430400 is 403481466.

66418430400 is a `hidden beast` number, since 6 + 641 + 8 + 4 + 3 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×66418430400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228657 + ... + 430256.

Almost surely, 2^66418430400 is an apocalyptic number.

66418430400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66418430400 is an abundant number, since it is smaller than the sum of its proper divisors (203372589072).

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

66418430400 is a wasteful number, since it uses less digits than its factorization.

66418430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658948 (or 658930 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 66418430400 in words is "sixty-six billion, four hundred eighteen million, four hundred thirty thousand, four hundred".