9952197840 has 800 divisors, whose sum is σ = 39846782976. Its totient is φ = 2284277760.

The previous prime is 9952197779. The next prime is 9952197841. The reversal of 9952197840 is 487912599.

9952197840 is a `hidden beast` number, since 9 + 9 + 521 + 9 + 78 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952197841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96623229 + ... + 96623331.

Almost surely, 2^9952197840 is an apocalyptic number.

9952197840 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 9952197840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19923391488).

9952197840 is an abundant number, since it is smaller than the sum of its proper divisors (29894585136).

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

9952197840 is a wasteful number, since it uses less digits than its factorization.

9952197840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 9952197840 is about 99760.7028844525. The cubic root of 9952197840 is about 2150.9963177519.

The spelling of 9952197840 in words is "nine billion, nine hundred fifty-two million, one hundred ninety-seven thousand, eight hundred forty".