9257789606400 has 1440 divisors, whose sum is σ = 36569909376000. Its totient is φ = 2226349670400.

The previous prime is 9257789606399. The next prime is 9257789606423. The reversal of 9257789606400 is 46069877529.

9257789606400 is a `hidden beast` number, since 9 + 25 + 77 + 89 + 60 + 6 + 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 143 ways as a sum of consecutive naturals, for example, 6617432901 + ... + 6617434299.

It is an arithmetic number, because the mean of its divisors is an integer number (25395770400).

Almost surely, 2^{9257789606400} is an apocalyptic number.

9257789606400 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 9257789606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284954688000).

9257789606400 is an abundant number, since it is smaller than the sum of its proper divisors (27312119769600).

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

9257789606400 is a wasteful number, since it uses less digits than its factorization.

9257789606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 9257789606400 in words is "nine trillion, two hundred fifty-seven billion, seven hundred eighty-nine million, six hundred six thousand, four hundred".