9962917020 has 288 divisors, whose sum is σ = 35799429120. Its totient is φ = 2194698240.

The previous prime is 9962917009. The next prime is 9962917021. The reversal of 9962917020 is 207192699.

9962917020 is a `hidden beast` number, since 9 + 9 + 629 + 17 + 0 + 2 + 0 = 666.

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 (9962917021) 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, 14803404 + ... + 14804076.

Almost surely, 2^9962917020 is an apocalyptic number.

9962917020 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 9962917020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17899714560).

9962917020 is an abundant number, since it is smaller than the sum of its proper divisors (25836512100).

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

9962917020 is a wasteful number, since it uses less digits than its factorization.

9962917020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9962917020 is about 99814.4128871177. The cubic root of 9962917020 is about 2151.7682960990.

The spelling of 9962917020 in words is "nine billion, nine hundred sixty-two million, nine hundred seventeen thousand, twenty".