7160220480 has 448 divisors, whose sum is σ = 27730460160. Its totient is φ = 1528037376.

The previous prime is 7160220467. The next prime is 7160220481. The reversal of 7160220480 is 840220617.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×7160220480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7160220481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26617786 + ... + 26618054.

Almost surely, 2^7160220480 is an apocalyptic number.

7160220480 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 7160220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865230080).

7160220480 is an abundant number, since it is smaller than the sum of its proper divisors (20570239680).

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

7160220480 is a wasteful number, since it uses less digits than its factorization.

7160220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7160220480 is about 84618.0860100251. The cubic root of 7160220480 is about 1927.4160234997.

The spelling of 7160220480 in words is "seven billion, one hundred sixty million, two hundred twenty thousand, four hundred eighty".