966547769040 has 1280 divisors, whose sum is σ = 4115462307840. Its totient is φ = 203506974720.

The previous prime is 966547768997. The next prime is 966547769087. The reversal of 966547769040 is 40967745669.

966547769040 is a `hidden beast` number, since 9 + 6 + 65 + 477 + 69 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3107870485 + ... + 3107870795.

It is an arithmetic number, because the mean of its divisors is an integer number (3215204928).

Almost surely, 2^966547769040 is an apocalyptic number.

966547769040 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 966547769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057731153920).

966547769040 is an abundant number, since it is smaller than the sum of its proper divisors (3148914538800).

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

966547769040 is a wasteful number, since it uses less digits than its factorization.

966547769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 966547769040 in words is "nine hundred sixty-six billion, five hundred forty-seven million, seven hundred sixty-nine thousand, forty".