9862684416 has 180 divisors, whose sum is σ = 31671816792. Its totient is φ = 3034589184.

The previous prime is 9862684399. The next prime is 9862684451. The reversal of 9862684416 is 6144862689.

9862684416 is a `hidden beast` number, since 9 + 8 + 626 + 8 + 4 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×9862684416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 251275 + ... + 287861.

Almost surely, 2^9862684416 is an apocalyptic number.

9862684416 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 9862684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15835908396).

9862684416 is an abundant number, since it is smaller than the sum of its proper divisors (21809132376).

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

9862684416 is a wasteful number, since it uses less digits than its factorization.

9862684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36628 (or 36605 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 9862684416 is about 99311.0488112979. The cubic root of 9862684416 is about 2144.5279571566.

The spelling of 9862684416 in words is "nine billion, eight hundred sixty-two million, six hundred eighty-four thousand, four hundred sixteen".