966383762400 has 864 divisors, whose sum is σ = 4108065504480. Its totient is φ = 218587299840.

The previous prime is 966383762359. The next prime is 966383762411. The reversal of 966383762400 is 4267383669.

966383762400 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 8 + 3 + 7 + 624 + 0 + 0 = 666.

966383762400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102660094 + ... + 102669506.

It is an arithmetic number, because the mean of its divisors is an integer number (4754705445).

Almost surely, 2^966383762400 is an apocalyptic number.

966383762400 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 966383762400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054032752240).

966383762400 is an abundant number, since it is smaller than the sum of its proper divisors (3141681742080).

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

966383762400 is a wasteful number, since it uses less digits than its factorization.

966383762400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 966383762400 in words is "nine hundred sixty-six billion, three hundred eighty-three million, seven hundred sixty-two thousand, four hundred".