66838047120 has 120 divisors (see below), whose sum is σ = 241730970936. Its totient is φ = 16452440064.

The previous prime is 66838047083. The next prime is 66838047169. The reversal of 66838047120 is 2174083866.

66838047120 is a `hidden beast` number, since 6 + 6 + 83 + 80 + 471 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4465981584 + 62372065536 = 66828^2 + 249744^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3561049 + ... + 3579768.

Almost surely, 2^66838047120 is an apocalyptic number.

66838047120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66838047120 is an abundant number, since it is smaller than the sum of its proper divisors (174892923816).

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

66838047120 is a wasteful number, since it uses less digits than its factorization.

66838047120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140849 (or 7140840 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 66838047120 in words is "sixty-six billion, eight hundred thirty-eight million, forty-seven thousand, one hundred twenty".