9904256544 has 384 divisors, whose sum is σ = 32947568640. Its totient is φ = 2536095744.

The previous prime is 9904256543. The next prime is 9904256563. The reversal of 9904256544 is 4456524099.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9904256493 and 9904256502.

It is not an unprimeable number, because it can be changed into a prime (9904256543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77986209 + ... + 77986335.

It is an arithmetic number, because the mean of its divisors is an integer number (85800960).

Almost surely, 2^9904256544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9904256544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473784320).

9904256544 is an abundant number, since it is smaller than the sum of its proper divisors (23043312096).

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

9904256544 is a wasteful number, since it uses less digits than its factorization.

9904256544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 9904256544 is about 99520.1313503956. The cubic root of 9904256544 is about 2147.5368614720.

The spelling of 9904256544 in words is "nine billion, nine hundred four million, two hundred fifty-six thousand, five hundred forty-four".