9812607983640 has 640 divisors, whose sum is σ = 42122458667520. Its totient is φ = 1989250099200.

The previous prime is 9812607983603. The next prime is 9812607983653. The reversal of 9812607983640 is 463897062189.

9812607983640 is a `hidden beast` number, since 9 + 8 + 1 + 260 + 7 + 9 + 8 + 364 + 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 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 159 ways as a sum of consecutive naturals, for example, 9749019 + ... + 10708341.

It is an arithmetic number, because the mean of its divisors is an integer number (65816341668).

Almost surely, 2^{9812607983640} is an apocalyptic number.

9812607983640 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 9812607983640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061229333760).

9812607983640 is an abundant number, since it is smaller than the sum of its proper divisors (32309850683880).

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

9812607983640 is a wasteful number, since it uses less digits than its factorization.

9812607983640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959405 (or 959392 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 9812607983640 in words is "nine trillion, eight hundred twelve billion, six hundred seven million, nine hundred eighty-three thousand, six hundred forty".