966739518420480 has 1920 divisors, whose sum is σ = 3962985632686080. Its totient is φ = 213230718812160.

The previous prime is 966739518420463. The next prime is 966739518420499. The reversal of 966739518420480 is 84024815937669.

966739518420480 is a `hidden beast` number, since 9 + 6 + 6 + 7 + 3 + 9 + 518 + 4 + 20 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 966739518420399 and 966739518420408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206612418781 + ... + 206612423459.

It is an arithmetic number, because the mean of its divisors is an integer number (2064055017024).

It is a 1-persistent number, because it is pandigital, but 2⋅966739518420480 = 1933479036840960 is not.

Almost surely, 2^{966739518420480} is an apocalyptic number.

966739518420480 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 966739518420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981492816343040).

966739518420480 is an abundant number, since it is smaller than the sum of its proper divisors (2996246114265600).

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

966739518420480 is a wasteful number, since it uses less digits than its factorization.

966739518420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 966739518420480 in words is "nine hundred sixty-six trillion, seven hundred thirty-nine billion, five hundred eighteen million, four hundred twenty thousand, four hundred eighty".