66476404512 has 480 divisors, whose sum is σ = 238581116928. Its totient is φ = 17724801024.

The previous prime is 66476404487. The next prime is 66476404513. The reversal of 66476404512 is 21540467466.

66476404512 is a `hidden beast` number, since 6 + 64 + 76 + 4 + 0 + 4 + 512 = 666.

It is a super-2 number, since 2×66476404512² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66476404513) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39172048 + ... + 39173744.

Almost surely, 2^66476404512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66476404512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119290558464).

66476404512 is an abundant number, since it is smaller than the sum of its proper divisors (172104712416).

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

66476404512 is a wasteful number, since it uses less digits than its factorization.

66476404512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 66476404512 in words is "sixty-six billion, four hundred seventy-six million, four hundred four thousand, five hundred twelve".