9967465490400 has 1728 divisors, whose sum is σ = 42105371083776. Its totient is φ = 2193371136000.

The previous prime is 9967465490369. The next prime is 9967465490449. The reversal of 9967465490400 is 40945647699.

9967465490400 is a `hidden beast` number, since 9 + 9 + 6 + 7 + 46 + 549 + 0 + 40 + 0 = 666.

9967465490400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2763365397 + ... + 2763369003.

It is an arithmetic number, because the mean of its divisors is an integer number (24366534192).

Almost surely, 2^{9967465490400} is an apocalyptic number.

9967465490400 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 9967465490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21052685541888).

9967465490400 is an abundant number, since it is smaller than the sum of its proper divisors (32137905593376).

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

9967465490400 is a wasteful number, since it uses less digits than its factorization.

9967465490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9967465490400 in words is "nine trillion, nine hundred sixty-seven billion, four hundred sixty-five million, four hundred ninety thousand, four hundred".