9897459840 has 384 divisors, whose sum is σ = 36803023920. Its totient is φ = 2441871360.

The previous prime is 9897459787. The next prime is 9897459877. The reversal of 9897459840 is 489547989.

9897459840 is a `hidden beast` number, since 98 + 97 + 459 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2007756864 + 7889702976 = 44808^2 + 88824^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9897459840² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5972292 + ... + 5973948.

Almost surely, 2^9897459840 is an apocalyptic number.

9897459840 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 9897459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18401511960).

9897459840 is an abundant number, since it is smaller than the sum of its proper divisors (26905564080).

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

9897459840 is a wasteful number, since it uses less digits than its factorization.

9897459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 9897459840 is about 99485.9781074700. The cubic root of 9897459840 is about 2147.0455066552.

The spelling of 9897459840 in words is "nine billion, eight hundred ninety-seven million, four hundred fifty-nine thousand, eight hundred forty".