9689345033400 has 144 divisors (see below), whose sum is σ = 32565069842760. Its totient is φ = 2581838688000.

The previous prime is 9689345033393. The next prime is 9689345033419. The reversal of 9689345033400 is 43305439869.

9689345033400 is a `hidden beast` number, since 9 + 6 + 8 + 93 + 4 + 503 + 3 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273019 + ... + 4410581.

Almost surely, 2^{9689345033400} is an apocalyptic number.

9689345033400 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 9689345033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282534921380).

9689345033400 is an abundant number, since it is smaller than the sum of its proper divisors (22875724809360).

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

9689345033400 is a wasteful number, since it uses less digits than its factorization.

9689345033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138886 (or 4138874 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 9689345033400 in words is "nine trillion, six hundred eighty-nine billion, three hundred forty-five million, thirty-three thousand, four hundred".