9655781990400 has 2688 divisors, whose sum is σ = 45141377433600. Its totient is φ = 1968360652800.

The previous prime is 9655781990383. The next prime is 9655781990563. The reversal of 9655781990400 is 40991875569.

9655781990400 is a `hidden beast` number, since 9 + 6 + 5 + 578 + 19 + 9 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×9655781990400² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15599001291 + ... + 15599001909.

It is an arithmetic number, because the mean of its divisors is an integer number (16793667200).

Almost surely, 2^{9655781990400} is an apocalyptic number.

9655781990400 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 9655781990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22570688716800).

9655781990400 is an abundant number, since it is smaller than the sum of its proper divisors (35485595443200).

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

9655781990400 is a wasteful number, since it uses less digits than its factorization.

9655781990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 9655781990400 in words is "nine trillion, six hundred fifty-five billion, seven hundred eighty-one million, nine hundred ninety thousand, four hundred".