66477699677466 has 384 divisors, whose sum is σ = 191912366131200. Its totient is φ = 16108659578880.

The previous prime is 66477699677419. The next prime is 66477699677503.

66477699677466 is a `hidden beast` number, since 6 + 6 + 4 + 7 + 76 + 9 + 9 + 6 + 77 + 466 = 666.

66477699677466 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9021261030 + ... + 9021268398.

It is an arithmetic number, because the mean of its divisors is an integer number (499771786800).

Almost surely, 2^{66477699677466} is an apocalyptic number.

66477699677466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66477699677466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95956183065600).

66477699677466 is an abundant number, since it is smaller than the sum of its proper divisors (125434666453734).

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

66477699677466 is a wasteful number, since it uses less digits than its factorization.

66477699677466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12591 counting only the distinct ones).

The product of its digits is 145179288576, while the sum is 90.

The spelling of 66477699677466 in words is "sixty-six trillion, four hundred seventy-seven billion, six hundred ninety-nine million, six hundred seventy-seven thousand, four hundred sixty-six".