9979770240 has 960 divisors, whose sum is σ = 41168468880. Its totient is φ = 2299207680.

The previous prime is 9979770223. The next prime is 9979770247. The reversal of 9979770240 is 420779799.

It is a tau number, because it is divible by the number of its divisors (960).

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 (9979770247) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 232087659 + ... + 232087701.

Almost surely, 2^9979770240 is an apocalyptic number.

9979770240 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 9979770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20584234440).

9979770240 is an abundant number, since it is smaller than the sum of its proper divisors (31188698640).

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

9979770240 is a wasteful number, since it uses less digits than its factorization.

9979770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The square root of 9979770240 is about 99898.7999927927. The cubic root of 9979770240 is about 2152.9809193859.

The spelling of 9979770240 in words is "nine billion, nine hundred seventy-nine million, seven hundred seventy thousand, two hundred forty".