7478271360 has 576 divisors, whose sum is σ = 30653195040. Its totient is φ = 1645608960.

The previous prime is 7478271349. The next prime is 7478271401. The reversal of 7478271360 is 631728747.

It is a tau number, because it is divible by the number of its divisors (576).

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38747424 + ... + 38747616.

Almost surely, 2^7478271360 is an apocalyptic number.

7478271360 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 7478271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326597520).

7478271360 is an abundant number, since it is smaller than the sum of its proper divisors (23174923680).

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

7478271360 is a wasteful number, since it uses less digits than its factorization.

7478271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7478271360 is about 86476.9990228616. Note that the first 3 decimals coincide. The cubic root of 7478271360 is about 1955.5416643488.

The spelling of 7478271360 in words is "seven billion, four hundred seventy-eight million, two hundred seventy-one thousand, three hundred sixty".