966529530464400 has 1440 divisors, whose sum is σ = 4152133140756480. Its totient is φ = 209155365596160.

The previous prime is 966529530464371. The next prime is 966529530464413. The reversal of 966529530464400 is 4464035925669.

966529530464400 is a `hidden beast` number, since 9 + 6 + 6 + 52 + 9 + 530 + 4 + 6 + 4 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44403422317 + ... + 44403444083.

It is an arithmetic number, because the mean of its divisors is an integer number (2883425792192).

Almost surely, 2^{966529530464400} is an apocalyptic number.

966529530464400 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 966529530464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076066570378240).

966529530464400 is an abundant number, since it is smaller than the sum of its proper divisors (3185603610292080).

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

966529530464400 is a wasteful number, since it uses less digits than its factorization.

966529530464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23466 (or 23430 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 966529530464400 in words is "nine hundred sixty-six trillion, five hundred twenty-nine billion, five hundred thirty million, four hundred sixty-four thousand, four hundred".