966367748736 has 96 divisors (see below), whose sum is σ = 2994733434420. Its totient is φ = 297343918080.

The previous prime is 966367748669. The next prime is 966367748741. The reversal of 966367748736 is 637847763669.

966367748736 is a `hidden beast` number, since 96 + 6 + 367 + 74 + 87 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 961419470400 + 4948278336 = 980520^2 + 70344^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32248905 + ... + 32278856.

Almost surely, 2^966367748736 is an apocalyptic number.

966367748736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

966367748736 is an abundant number, since it is smaller than the sum of its proper divisors (2028365685684).

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

966367748736 is a wasteful number, since it uses less digits than its factorization.

966367748736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64527794 (or 64527779 counting only the distinct ones).

The product of its digits is 1152216576, while the sum is 72.

The spelling of 966367748736 in words is "nine hundred sixty-six billion, three hundred sixty-seven million, seven hundred forty-eight thousand, seven hundred thirty-six".