966679858080 has 144 divisors (see below), whose sum is σ = 3304515005064. Its totient is φ = 257334312960.

The previous prime is 966679858057. The next prime is 966679858093. The reversal of 966679858080 is 80858976669.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 915366735504 + 51313122576 = 956748^2 + 226524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 249160 + ... + 1412600.

Almost surely, 2^966679858080 is an apocalyptic number.

966679858080 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 966679858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652257502532).

966679858080 is an abundant number, since it is smaller than the sum of its proper divisors (2337835146984).

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

966679858080 is a wasteful number, since it uses less digits than its factorization.

966679858080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164039 (or 1164028 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 966679858080 in words is "nine hundred sixty-six billion, six hundred seventy-nine million, eight hundred fifty-eight thousand, eighty".