7459898960 has 80 divisors (see below), whose sum is σ = 17618106000. Its totient is φ = 2937212928.

The previous prime is 7459898951. The next prime is 7459898987. The reversal of 7459898960 is 698989547.

It can be written as a sum of positive squares in 8 ways, for example, as 674752576 + 6785146384 = 25976^2 + 82372^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366316 + ... + 1371764.

It is an arithmetic number, because the mean of its divisors is an integer number (220226325).

Almost surely, 2^7459898960 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 7459898960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809053000).

7459898960 is an abundant number, since it is smaller than the sum of its proper divisors (10158207040).

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

7459898960 is a wasteful number, since it uses less digits than its factorization.

7459898960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 65.

The square root of 7459898960 is about 86370.7066082014. The cubic root of 7459898960 is about 1953.9389117674.

The spelling of 7459898960 in words is "seven billion, four hundred fifty-nine million, eight hundred ninety-eight thousand, nine hundred sixty".