66080922336 has 864 divisors, whose sum is σ = 239978059776. Its totient is φ = 17635968000.

The previous prime is 66080922311. The next prime is 66080922379. The reversal of 66080922336 is 63322908066.

66080922336 is a `hidden beast` number, since 6 + 608 + 0 + 9 + 2 + 2 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 66080922291 and 66080922300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 930717181 + ... + 930717251.

It is an arithmetic number, because the mean of its divisors is an integer number (277752384).

Almost surely, 2^66080922336 is an apocalyptic number.

66080922336 is a gapful number since it is divisible by the number (66) 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 66080922336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119989029888).

66080922336 is an abundant number, since it is smaller than the sum of its proper divisors (173897137440).

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

66080922336 is a wasteful number, since it uses less digits than its factorization.

66080922336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 66080922336 in words is "sixty-six billion, eighty million, nine hundred twenty-two thousand, three hundred thirty-six".