9436725698400 has 6480 divisors, whose sum is σ = 50615658390528. Its totient is φ = 1659460608000.

The previous prime is 9436725698399. The next prime is 9436725698423. The reversal of 9436725698400 is 48965276349.

9436725698400 is a `hidden beast` number, since 9 + 4 + 3 + 67 + 2 + 569 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 304410506385 + ... + 304410506415.

Almost surely, 2^{9436725698400} is an apocalyptic number.

9436725698400 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 9436725698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25307829195264).

9436725698400 is an abundant number, since it is smaller than the sum of its proper divisors (41178932692128).

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

9436725698400 is a wasteful number, since it uses less digits than its factorization.

9436725698400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 9436725698400 in words is "nine trillion, four hundred thirty-six billion, seven hundred twenty-five million, six hundred ninety-eight thousand, four hundred".