9649601280 has 360 divisors, whose sum is σ = 37671402384. Its totient is φ = 2339020800.

The previous prime is 9649601279. The next prime is 9649601281. The reversal of 9649601280 is 821069469.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9649601279) and next prime (9649601281).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×9649601280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9649601281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1136250 + ... + 1144710.

Almost surely, 2^9649601280 is an apocalyptic number.

9649601280 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 9649601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18835701192).

9649601280 is an abundant number, since it is smaller than the sum of its proper divisors (28021801104).

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

9649601280 is a wasteful number, since it uses less digits than its factorization.

9649601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9649601280 is about 98232.3840696132. The cubic root of 9649601280 is about 2128.9712151413.

The spelling of 9649601280 in words is "nine billion, six hundred forty-nine million, six hundred one thousand, two hundred eighty".