9873785376 has 432 divisors, whose sum is σ = 35574686784. Its totient is φ = 2574609408.

The previous prime is 9873785359. The next prime is 9873785381. The reversal of 9873785376 is 6735873789.

9873785376 is a `hidden beast` number, since 98 + 7 + 3 + 7 + 8 + 537 + 6 = 666.

It is a super-2 number, since 2×9873785376² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19629541 + ... + 19630043.

It is an arithmetic number, because the mean of its divisors is an integer number (82348812).

Almost surely, 2^9873785376 is an apocalyptic number.

9873785376 is a gapful number since it is divisible by the number (96) 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 9873785376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17787343392).

9873785376 is an abundant number, since it is smaller than the sum of its proper divisors (25700901408).

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

9873785376 is a wasteful number, since it uses less digits than its factorization.

9873785376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 635 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The square root of 9873785376 is about 99366.9229472263. The cubic root of 9873785376 is about 2145.3322477501.

The spelling of 9873785376 in words is "nine billion, eight hundred seventy-three million, seven hundred eighty-five thousand, three hundred seventy-six".