966678779520 has 320 divisors, whose sum is σ = 3460462548840. Its totient is φ = 257162895360.

The previous prime is 966678779509. The next prime is 966678779533. The reversal of 966678779520 is 25977876669.

It can be written as a sum of positive squares in 4 ways, for example, as 648772255296 + 317906524224 = 805464^2 + 563832^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 21802494 + ... + 21846786.

Almost surely, 2^966678779520 is an apocalyptic number.

966678779520 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 966678779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730231274420).

966678779520 is an abundant number, since it is smaller than the sum of its proper divisors (2493783769320).

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

966678779520 is a wasteful number, since it uses less digits than its factorization.

966678779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44745 (or 44724 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 966678779520 in words is "nine hundred sixty-six billion, six hundred seventy-eight million, seven hundred seventy-nine thousand, five hundred twenty".