966672451584 has 576 divisors, whose sum is σ = 3408904699200. Its totient is φ = 269736542208.

The previous prime is 966672451573. The next prime is 966672451639. The reversal of 966672451584 is 485154276669.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116504524 + ... + 116512820.

It is an arithmetic number, because the mean of its divisors is an integer number (5918237325).

Almost surely, 2^966672451584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966672451584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704452349600).

966672451584 is an abundant number, since it is smaller than the sum of its proper divisors (2442232247616).

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

966672451584 is a wasteful number, since it uses less digits than its factorization.

966672451584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8352 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 966672451584 in words is "nine hundred sixty-six billion, six hundred seventy-two million, four hundred fifty-one thousand, five hundred eighty-four".