66412460340 has 36 divisors (see below), whose sum is σ = 201451130244. Its totient is φ = 17709989376.

The previous prime is 66412460333. The next prime is 66412460351. The reversal of 66412460340 is 4306421466.

66412460340 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 2 + 4 + 603 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22937708304 + 43474752036 = 151452^2 + 208506^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×66412460340² (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 junction number, because it is equal to n+sod(n) for n = 66412460295 and 66412460304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184478877 + ... + 184479236.

It is an arithmetic number, because the mean of its divisors is an integer number (5595864729).

Almost surely, 2^66412460340 is an apocalyptic number.

66412460340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66412460340 is an abundant number, since it is smaller than the sum of its proper divisors (135038669904).

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

66412460340 is a wasteful number, since it uses less digits than its factorization.

66412460340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368958128 (or 368958123 counting only the distinct ones).

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

The spelling of 66412460340 in words is "sixty-six billion, four hundred twelve million, four hundred sixty thousand, three hundred forty".