9512834063040 has 672 divisors, whose sum is σ = 42304912925184. Its totient is φ = 1976691548160.

The previous prime is 9512834063039. The next prime is 9512834063071. The reversal of 9512834063040 is 403604382159.

9512834063040 is a `hidden beast` number, since 9 + 5 + 1 + 2 + 8 + 3 + 4 + 0 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9512834063040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5193132 + ... + 6781908.

It is an arithmetic number, because the mean of its divisors is an integer number (62953739472).

Almost surely, 2^{9512834063040} is an apocalyptic number.

9512834063040 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 9512834063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21152456462592).

9512834063040 is an abundant number, since it is smaller than the sum of its proper divisors (32792078862144).

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

9512834063040 is a wasteful number, since it uses less digits than its factorization.

9512834063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588827 (or 1588805 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 9512834063040 in words is "nine trillion, five hundred twelve billion, eight hundred thirty-four million, sixty-three thousand, forty".