66776690304 has 160 divisors (see below), whose sum is σ = 205137863040. Its totient is φ = 21540764160.

The previous prime is 66776690263. The next prime is 66776690311. The reversal of 66776690304 is 40309667766.

It is a super-2 number, since 2×66776690304² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217527 + ... + 425289.

It is an arithmetic number, because the mean of its divisors is an integer number (1282111644).

Almost surely, 2^66776690304 is an apocalyptic number.

66776690304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66776690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102568931520).

66776690304 is an abundant number, since it is smaller than the sum of its proper divisors (138361172736).

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

66776690304 is a wasteful number, since it uses less digits than its factorization.

66776690304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207820 (or 207799 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 66776690304 in words is "sixty-six billion, seven hundred seventy-six million, six hundred ninety thousand, three hundred four".