9673954934400 has 1440 divisors, whose sum is σ = 37475682251040. Its totient is φ = 2456842752000.

The previous prime is 9673954934381. The next prime is 9673954934437. The reversal of 9673954934400 is 44394593769.

9673954934400 is a `hidden beast` number, since 9 + 6 + 73 + 95 + 49 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 17685474927 + ... + 17685475473.

It is an arithmetic number, because the mean of its divisors is an integer number (26024779341).

Almost surely, 2^{9673954934400} is an apocalyptic number.

9673954934400 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 9673954934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18737841125520).

9673954934400 is an abundant number, since it is smaller than the sum of its proper divisors (27801727316640).

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

9673954934400 is a wasteful number, since it uses less digits than its factorization.

9673954934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 9673954934400 in words is "nine trillion, six hundred seventy-three billion, nine hundred fifty-four million, nine hundred thirty-four thousand, four hundred".