9937284467040 has 1728 divisors, whose sum is σ = 42311032598016. Its totient is φ = 2079380865024.

The previous prime is 9937284467003. The next prime is 9937284467041. The reversal of 9937284467040 is 407644827399.

9937284467040 is a `hidden beast` number, since 9 + 93 + 7 + 2 + 84 + 467 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9937284467041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17650593799 + ... + 17650594361.

It is an arithmetic number, because the mean of its divisors is an integer number (24485551272).

Almost surely, 2^{9937284467040} is an apocalyptic number.

9937284467040 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 9937284467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21155516299008).

9937284467040 is an abundant number, since it is smaller than the sum of its proper divisors (32373748130976).

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

9937284467040 is a wasteful number, since it uses less digits than its factorization.

9937284467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 9937284467040 in words is "nine trillion, nine hundred thirty-seven billion, two hundred eighty-four million, four hundred sixty-seven thousand, forty".