9648253440 has 1200 divisors, whose sum is σ = 43777590912. Its totient is φ = 1985347584.

The previous prime is 9648253427. The next prime is 9648253477. The reversal of 9648253440 is 443528469.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 419489269 + ... + 419489291.

Almost surely, 2^9648253440 is an apocalyptic number.

9648253440 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 9648253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888795456).

9648253440 is an abundant number, since it is smaller than the sum of its proper divisors (34129337472).

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

9648253440 is a wasteful number, since it uses less digits than its factorization.

9648253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 9648253440 is about 98225.5233633296. The cubic root of 9648253440 is about 2128.8720868253.

The spelling of 9648253440 in words is "nine billion, six hundred forty-eight million, two hundred fifty-three thousand, four hundred forty".