9802257660 has 288 divisors, whose sum is σ = 33958693440. Its totient is φ = 2333422080.

The previous prime is 9802257653. The next prime is 9802257667. The reversal of 9802257660 is 667522089.

It is an interprime number because it is at equal distance from previous prime (9802257653) and next prime (9802257667).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9802257667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6745494 + ... + 6746946.

It is an arithmetic number, because the mean of its divisors is an integer number (117912130).

Almost surely, 2^9802257660 is an apocalyptic number.

9802257660 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 9802257660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16979346720).

9802257660 is an abundant number, since it is smaller than the sum of its proper divisors (24156435780).

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

9802257660 is a wasteful number, since it uses less digits than its factorization.

9802257660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9802257660 is about 99006.3516144293. The cubic root of 9802257660 is about 2140.1392796647.

The spelling of 9802257660 in words is "nine billion, eight hundred two million, two hundred fifty-seven thousand, six hundred sixty".