9652264916400 has 720 divisors, whose sum is σ = 37966617980928. Its totient is φ = 2344370688000.

The previous prime is 9652264916381. The next prime is 9652264916401. The reversal of 9652264916400 is 46194622569.

9652264916400 is a `hidden beast` number, since 9 + 6 + 5 + 226 + 4 + 9 + 1 + 6 + 400 = 666.

9652264916400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9652264916401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51130185 + ... + 51318615.

Almost surely, 2^{9652264916400} is an apocalyptic number.

9652264916400 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 9652264916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983308990464).

9652264916400 is an abundant number, since it is smaller than the sum of its proper divisors (28314353064528).

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

9652264916400 is a wasteful number, since it uses less digits than its factorization.

9652264916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188512 (or 188489 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 9652264916400 in words is "nine trillion, six hundred fifty-two billion, two hundred sixty-four million, nine hundred sixteen thousand, four hundred".