66580392960 has 440 divisors, whose sum is σ = 245091240240. Its totient is φ = 17270931456.

The previous prime is 66580392959. The next prime is 66580392973. The reversal of 66580392960 is 6929308566.

66580392960 is a `hidden beast` number, since 6 + 6 + 580 + 39 + 29 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66580392897 and 66580392906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15342471 + ... + 15346809.

It is an arithmetic number, because the mean of its divisors is an integer number (557025546).

Almost surely, 2^66580392960 is an apocalyptic number.

66580392960 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 66580392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122545620120).

66580392960 is an abundant number, since it is smaller than the sum of its proper divisors (178510847280).

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

66580392960 is a wasteful number, since it uses less digits than its factorization.

66580392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 66580392960 in words is "sixty-six billion, five hundred eighty million, three hundred ninety-two thousand, nine hundred sixty".