7135272480 has 384 divisors, whose sum is σ = 26974273536. Its totient is φ = 1551052800.

The previous prime is 7135272479. The next prime is 7135272481. The reversal of 7135272480 is 842725317.

It is an interprime number because it is at equal distance from previous prime (7135272479) and next prime (7135272481).

It is a super-2 number, since 2×7135272480² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7135272481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6353199 + ... + 6354321.

It is an arithmetic number, because the mean of its divisors is an integer number (70245504).

Almost surely, 2^7135272480 is an apocalyptic number.

7135272480 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 7135272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487136768).

7135272480 is an abundant number, since it is smaller than the sum of its proper divisors (19839001056).

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

7135272480 is a wasteful number, since it uses less digits than its factorization.

7135272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 7135272480 is about 84470.5420842083. The cubic root of 7135272480 is about 1925.1748853313.

Adding to 7135272480 its reverse (842725317), we get a palindrome (7977997797).

The spelling of 7135272480 in words is "seven billion, one hundred thirty-five million, two hundred seventy-two thousand, four hundred eighty".