7281351168 has 320 divisors, whose sum is σ = 24137955072. Its totient is φ = 1899233280.

The previous prime is 7281351167. The next prime is 7281351169. The reversal of 7281351168 is 8611531827.

It is an interprime number because it is at equal distance from previous prime (7281351167) and next prime (7281351169).

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

It is not an unprimeable number, because it can be changed into a prime (7281351163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15794458 + ... + 15794918.

Almost surely, 2^7281351168 is an apocalyptic number.

7281351168 is a gapful number since it is divisible by the number (78) 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 7281351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068977536).

7281351168 is an abundant number, since it is smaller than the sum of its proper divisors (16856603904).

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

7281351168 is a wasteful number, since it uses less digits than its factorization.

7281351168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 7281351168 is about 85330.8336300543. The cubic root of 7281351168 is about 1938.2241133169.

The spelling of 7281351168 in words is "seven billion, two hundred eighty-one million, three hundred fifty-one thousand, one hundred sixty-eight".