966890606400 has 672 divisors, whose sum is σ = 3619117171200. Its totient is φ = 251021721600.

The previous prime is 966890606389. The next prime is 966890606411. The reversal of 966890606400 is 4606098669.

It is a happy number.

966890606400 is a `hidden beast` number, since 96 + 6 + 8 + 90 + 60 + 6 + 400 = 666.

966890606400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (966890606389) and next prime (966890606411).

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 95 ways as a sum of consecutive naturals, for example, 249132460 + ... + 249136340.

Almost surely, 2^966890606400 is an apocalyptic number.

966890606400 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 966890606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809558585600).

966890606400 is an abundant number, since it is smaller than the sum of its proper divisors (2652226564800).

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

966890606400 is a wasteful number, since it uses less digits than its factorization.

966890606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 966890606400 in words is "nine hundred sixty-six billion, eight hundred ninety million, six hundred six thousand, four hundred".