66956216760 has 640 divisors, whose sum is σ = 244716595200. Its totient is φ = 16381854720.

The previous prime is 66956216741. The next prime is 66956216801. The reversal of 66956216760 is 6761265966.

66956216760 is a `hidden beast` number, since 6 + 6 + 9 + 5 + 621 + 6 + 7 + 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 = 66956216697 and 66956216706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 159799831 + ... + 159800249.

It is an arithmetic number, because the mean of its divisors is an integer number (382369680).

Almost surely, 2^66956216760 is an apocalyptic number.

66956216760 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 66956216760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122358297600).

66956216760 is an abundant number, since it is smaller than the sum of its proper divisors (177760378440).

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

66956216760 is a wasteful number, since it uses less digits than its factorization.

66956216760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 66956216760 in words is "sixty-six billion, nine hundred fifty-six million, two hundred sixteen thousand, seven hundred sixty".