7486890542208 has 1536 divisors, whose sum is σ = 29455714713600. Its totient is φ = 1828600012800.

The previous prime is 7486890542161. The next prime is 7486890542251. The reversal of 7486890542208 is 8022450986847.

7486890542208 is a `hidden beast` number, since 7 + 4 + 8 + 6 + 89 + 0 + 542 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4106905585 + ... + 4106907407.

It is an arithmetic number, because the mean of its divisors is an integer number (19176897600).

Almost surely, 2^{7486890542208} 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 7486890542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727857356800).

7486890542208 is an abundant number, since it is smaller than the sum of its proper divisors (21968824171392).

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

7486890542208 is a wasteful number, since it uses less digits than its factorization.

7486890542208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 7486890542208 in words is "seven trillion, four hundred eighty-six billion, eight hundred ninety million, five hundred forty-two thousand, two hundred eight".