7948287060480 has 1920 divisors, whose sum is σ = 32530555411200. Its totient is φ = 1828186619904.

The previous prime is 7948287060401. The next prime is 7948287060487. The reversal of 7948287060480 is 840607828497.

7948287060480 is a `hidden beast` number, since 7 + 9 + 4 + 8 + 28 + 70 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7948287060487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34708677006 + ... + 34708677234.

It is an arithmetic number, because the mean of its divisors is an integer number (16942997610).

Almost surely, 2^{7948287060480} 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 7948287060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265277705600).

7948287060480 is an abundant number, since it is smaller than the sum of its proper divisors (24582268350720).

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

7948287060480 is a wasteful number, since it uses less digits than its factorization.

7948287060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 7948287060480 in words is "seven trillion, nine hundred forty-eight billion, two hundred eighty-seven million, sixty thousand, four hundred eighty".