7261083648 has 720 divisors, whose sum is σ = 27565377840. Its totient is φ = 1863254016.

The previous prime is 7261083631. The next prime is 7261083659. The reversal of 7261083648 is 8463801627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 196245486 + ... + 196245522.

It is an arithmetic number, because the mean of its divisors is an integer number (38285247).

Almost surely, 2^7261083648 is an apocalyptic number.

7261083648 is a gapful number since it is divisible by the number (78) 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 7261083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782688920).

7261083648 is an abundant number, since it is smaller than the sum of its proper divisors (20304294192).

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

7261083648 is a wasteful number, since it uses less digits than its factorization.

7261083648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7261083648 is about 85211.9923954369. The cubic root of 7261083648 is about 1936.4241039782.

The spelling of 7261083648 in words is "seven billion, two hundred sixty-one million, eighty-three thousand, six hundred forty-eight".