7135797480 has 384 divisors, whose sum is σ = 25786252800. Its totient is φ = 1574318592.

The previous prime is 7135797479. The next prime is 7135797553. The reversal of 7135797480 is 847975317.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23243487 + ... + 23243793.

It is an arithmetic number, because the mean of its divisors is an integer number (67151700).

Almost surely, 2^7135797480 is an apocalyptic number.

7135797480 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 7135797480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893126400).

7135797480 is an abundant number, since it is smaller than the sum of its proper divisors (18650455320).

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

7135797480 is a wasteful number, since it uses less digits than its factorization.

7135797480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The square root of 7135797480 is about 84473.6496192748. The cubic root of 7135797480 is about 1925.2221010954. Note that the first 3 decimals are identical.

The spelling of 7135797480 in words is "seven billion, one hundred thirty-five million, seven hundred ninety-seven thousand, four hundred eighty".