9964264550400 has 624 divisors, whose sum is σ = 36723680114400. Its totient is φ = 2648522096640.

The previous prime is 9964264550393. The next prime is 9964264550417. The reversal of 9964264550400 is 40554624699.

9964264550400 is a `hidden beast` number, since 9 + 9 + 6 + 42 + 6 + 4 + 550 + 40 + 0 = 666.

It is a super-2 number, since 2×9964264550400² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 876435916 + ... + 876447284.

Almost surely, 2^{9964264550400} is an apocalyptic number.

9964264550400 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 9964264550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361840057200).

9964264550400 is an abundant number, since it is smaller than the sum of its proper divisors (26759415564000).

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

9964264550400 is a wasteful number, since it uses less digits than its factorization.

9964264550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11729 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 9964264550400 in words is "nine trillion, nine hundred sixty-four billion, two hundred sixty-four million, five hundred fifty thousand, four hundred".