966126470400 has 2592 divisors, whose sum is σ = 4566770208000. Its totient is φ = 189191946240.

The previous prime is 966126470383. The next prime is 966126470401. The reversal of 966126470400 is 4074621669.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966126470401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8863545546 + ... + 8863545654.

Almost surely, 2^966126470400 is an apocalyptic number.

966126470400 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 966126470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283385104000).

966126470400 is an abundant number, since it is smaller than the sum of its proper divisors (3600643737600).

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

966126470400 is a wasteful number, since it uses less digits than its factorization.

966126470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 966126470400 in words is "nine hundred sixty-six billion, one hundred twenty-six million, four hundred seventy thousand, four hundred".