66477771954 has 96 divisors (see below), whose sum is σ = 164297165760. Its totient is φ = 20144583360.

The previous prime is 66477771947. The next prime is 66477771959. The reversal of 66477771954 is 45917777466.

66477771954 is a `hidden beast` number, since 6 + 6 + 477 + 7 + 71 + 95 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66477771891 and 66477771900.

It is not an unprimeable number, because it can be changed into a prime (66477771959) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 595482 + ... + 698250.

It is an arithmetic number, because the mean of its divisors is an integer number (1711428810).

Almost surely, 2^66477771954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66477771954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82148582880).

66477771954 is an abundant number, since it is smaller than the sum of its proper divisors (97819393806).

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

66477771954 is a wasteful number, since it uses less digits than its factorization.

66477771954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102819 (or 102785 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 63.

The spelling of 66477771954 in words is "sixty-six billion, four hundred seventy-seven million, seven hundred seventy-one thousand, nine hundred fifty-four".