7487468928000 has 1760 divisors, whose sum is σ = 29674884096000. Its totient is φ = 1872211968000.

The previous prime is 7487468927987. The next prime is 7487468928113. The reversal of 7487468928000 is 8298647847.

7487468928000 is a `hidden beast` number, since 7 + 4 + 8 + 7 + 468 + 92 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37625471901 + ... + 37625472099.

It is an arithmetic number, because the mean of its divisors is an integer number (16860729600).

Almost surely, 2^{7487468928000} 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 7487468928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837442048000).

7487468928000 is an abundant number, since it is smaller than the sum of its proper divisors (22187415168000).

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

7487468928000 is a wasteful number, since it uses less digits than its factorization.

7487468928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 419 counting only the distinct ones).

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

The spelling of 7487468928000 in words is "seven trillion, four hundred eighty-seven billion, four hundred sixty-eight million, nine hundred twenty-eight thousand".