9435457448640 has 168 divisors, whose sum is σ = 32460753151008. Its totient is φ = 2515601694720.

The previous prime is 9435457448611. The next prime is 9435457448653. The reversal of 9435457448640 is 468447545349.

9435457448640 is a `hidden beast` number, since 9 + 4 + 3 + 5 + 45 + 74 + 486 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13692184 + ... + 14364776.

It is an arithmetic number, because the mean of its divisors is an integer number (193218768756).

Almost surely, 2^{9435457448640} is an apocalyptic number.

9435457448640 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 9435457448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230376575504).

9435457448640 is an abundant number, since it is smaller than the sum of its proper divisors (23025295702368).

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

9435457448640 is a wasteful number, since it uses less digits than its factorization.

9435457448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677487 (or 677474 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 9435457448640 in words is "nine trillion, four hundred thirty-five billion, four hundred fifty-seven million, four hundred forty-eight thousand, six hundred forty".