9709920000 has 540 divisors, whose sum is σ = 38226532344. Its totient is φ = 2350080000.

The previous prime is 9709919987. The next prime is 9709920013. The reversal of 9709920000 is 299079.

It is an interprime number because it is at equal distance from previous prime (9709919987) and next prime (9709920013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15839694 + ... + 15840306.

Almost surely, 2^9709920000 is an apocalyptic number.

9709920000 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 9709920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113266172).

9709920000 is an abundant number, since it is smaller than the sum of its proper divisors (28516612344).

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

9709920000 is a wasteful number, since it uses less digits than its factorization.

9709920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 9709920000 is about 98538.9263184859. The cubic root of 9709920000 is about 2133.3980015119.

The spelling of 9709920000 in words is "nine billion, seven hundred nine million, nine hundred twenty thousand".