7448400960 has 896 divisors, whose sum is σ = 33230905344. Its totient is φ = 1362493440.

The previous prime is 7448400941. The next prime is 7448400979. The reversal of 7448400960 is 690048447.

It is an interprime number because it is at equal distance from previous prime (7448400941) and next prime (7448400979).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22101912 + ... + 22102248.

It is an arithmetic number, because the mean of its divisors is an integer number (37088064).

Almost surely, 2^7448400960 is an apocalyptic number.

7448400960 is a gapful number since it is divisible by the number (70) 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 7448400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615452672).

7448400960 is an abundant number, since it is smaller than the sum of its proper divisors (25782504384).

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

7448400960 is a wasteful number, since it uses less digits than its factorization.

7448400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 7448400960 is about 86304.1190210525. The cubic root of 7448400960 is about 1952.9345218437.

The spelling of 7448400960 in words is "seven billion, four hundred forty-eight million, four hundred thousand, nine hundred sixty".