66574289940480 has 1664 divisors, whose sum is σ = 280563426662400. Its totient is φ = 14842968145920.

The previous prime is 66574289940467. The next prime is 66574289940559. The reversal of 66574289940480 is 8404998247566.

66574289940480 is a `hidden beast` number, since 6 + 6 + 57 + 4 + 2 + 8 + 9 + 94 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66574289940399 and 66574289940408.

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 127 ways as a sum of consecutive naturals, for example, 12854658531 + ... + 12854663709.

Almost surely, 2^{66574289940480} is an apocalyptic number.

66574289940480 is a gapful number since it is divisible by the number (60) 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 66574289940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140281713331200).

66574289940480 is an abundant number, since it is smaller than the sum of its proper divisors (213989136721920).

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

66574289940480 is an frugal number, since it uses more digits than its factorization.

66574289940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 66574289940480 in words is "sixty-six trillion, five hundred seventy-four billion, two hundred eighty-nine million, nine hundred forty thousand, four hundred eighty".