7260513408 has 448 divisors, whose sum is σ = 24080976000. Its totient is φ = 2167824384.

The previous prime is 7260513343. The next prime is 7260513433. The reversal of 7260513408 is 8043150627.

7260513408 is a `hidden beast` number, since 7 + 2 + 605 + 1 + 3 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 36484893 + ... + 36485091.

Almost surely, 2^7260513408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7260513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12040488000).

7260513408 is an abundant number, since it is smaller than the sum of its proper divisors (16820462592).

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

7260513408 is a wasteful number, since it uses less digits than its factorization.

7260513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7260513408 is about 85208.6463218376. The cubic root of 7260513408 is about 1936.3734111137.

The spelling of 7260513408 in words is "seven billion, two hundred sixty million, five hundred thirteen thousand, four hundred eight".