966414477600 has 1152 divisors, whose sum is σ = 4176632678400. Its totient is φ = 212555059200.

The previous prime is 966414477571. The next prime is 966414477617. The reversal of 966414477600 is 6774414669.

966414477600 is a `hidden beast` number, since 96 + 6 + 41 + 447 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 182236549 + ... + 182241851.

It is an arithmetic number, because the mean of its divisors is an integer number (3625549200).

Almost surely, 2^966414477600 is an apocalyptic number.

966414477600 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 966414477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088316339200).

966414477600 is an abundant number, since it is smaller than the sum of its proper divisors (3210218200800).

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

966414477600 is a wasteful number, since it uses less digits than its factorization.

966414477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 966414477600 in words is "nine hundred sixty-six billion, four hundred fourteen million, four hundred seventy-seven thousand, six hundred".