9740220480 has 168 divisors, whose sum is σ = 33588274200. Its totient is φ = 2590728192.

The previous prime is 9740220467. The next prime is 9740220487. The reversal of 9740220480 is 840220479.

It can be written as a sum of positive squares in 4 ways, for example, as 5156388864 + 4583831616 = 71808^2 + 67704^2 .

It is a super-2 number, since 2×9740220480² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9740220487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173786 + ... + 1182054.

Almost surely, 2^9740220480 is an apocalyptic number.

9740220480 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 9740220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16794137100).

9740220480 is an abundant number, since it is smaller than the sum of its proper divisors (23848053720).

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

9740220480 is a wasteful number, since it uses less digits than its factorization.

9740220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8701 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9740220480 is about 98692.5553423357. Note that the first 3 decimals coincide. The cubic root of 9740220480 is about 2135.6148360767.

The spelling of 9740220480 in words is "nine billion, seven hundred forty million, two hundred twenty thousand, four hundred eighty".