9725648486400 has 3240 divisors, whose sum is σ = 46062772793856. Its totient is φ = 1977915801600.

The previous prime is 9725648486383. The next prime is 9725648486441. The reversal of 9725648486400 is 46848465279.

9725648486400 is a `hidden beast` number, since 9 + 7 + 2 + 564 + 8 + 4 + 8 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×9725648486400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 206928691177 + ... + 206928691223.

Almost surely, 2^{9725648486400} is an apocalyptic number.

9725648486400 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 9725648486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23031386396928).

9725648486400 is an abundant number, since it is smaller than the sum of its proper divisors (36337124307456).

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

9725648486400 is an frugal number, since it uses more digits than its factorization.

9725648486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 9725648486400 in words is "nine trillion, seven hundred twenty-five billion, six hundred forty-eight million, four hundred eighty-six thousand, four hundred".