966945244446720 has 8064 divisors, whose sum is σ = 4957463637504000. Its totient is φ = 175794353602560.

The previous prime is 966945244446683. The next prime is 966945244446733. The reversal of 966945244446720 is 27644442549669.

966945244446720 is a `hidden beast` number, since 9 + 6 + 6 + 94 + 5 + 24 + 4 + 446 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33342939463666 + ... + 33342939463694.

It is an arithmetic number, because the mean of its divisors is an integer number (614764836000).

Almost surely, 2^{966945244446720} is an apocalyptic number.

966945244446720 is a gapful number since it is divisible by the number (90) 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 966945244446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478731818752000).

966945244446720 is an abundant number, since it is smaller than the sum of its proper divisors (3990518393057280).

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

966945244446720 is a wasteful number, since it uses less digits than its factorization.

966945244446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 72.

The spelling of 966945244446720 in words is "nine hundred sixty-six trillion, nine hundred forty-five billion, two hundred forty-four million, four hundred forty-six thousand, seven hundred twenty".