9857802240 has 1008 divisors, whose sum is σ = 42829224984. Its totient is φ = 2076180480.

The previous prime is 9857802233. The next prime is 9857802263. The reversal of 9857802240 is 422087589.

It can be written as a sum of positive squares in 4 ways, for example, as 7498174464 + 2359627776 = 86592^2 + 48576^2 .

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

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, 579870712 + ... + 579870728.

Almost surely, 2^9857802240 is an apocalyptic number.

9857802240 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 9857802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21414612492).

9857802240 is an abundant number, since it is smaller than the sum of its proper divisors (32971422744).

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

9857802240 is a wasteful number, since it uses less digits than its factorization.

9857802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 9857802240 is about 99286.4655428926. The cubic root of 9857802240 is about 2144.1740409693.

It can be divided in two parts, 985 and 7802240, that added together give a triangular number (7803225 = T₃₉₅₀).

The spelling of 9857802240 in words is "nine billion, eight hundred fifty-seven million, eight hundred two thousand, two hundred forty".