9003498416640 has 3600 divisors, whose sum is σ = 42726928730112. Its totient is φ = 1773817823232.

The previous prime is 9003498416629. The next prime is 9003498416663. The reversal of 9003498416640 is 466148943009.

It is a happy number.

9003498416640 is a `hidden beast` number, since 90 + 0 + 3 + 498 + 4 + 1 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 70893688257 + ... + 70893688383.

Almost surely, 2^{9003498416640} is an apocalyptic number.

9003498416640 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 9003498416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363464365056).

9003498416640 is an abundant number, since it is smaller than the sum of its proper divisors (33723430313472).

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

9003498416640 is a wasteful number, since it uses less digits than its factorization.

9003498416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 9003498416640 in words is "nine trillion, three billion, four hundred ninety-eight million, four hundred sixteen thousand, six hundred forty".