6987390848000 has 352 divisors, whose sum is σ = 18068187758400. Its totient is φ = 2693332992000.

The previous prime is 6987390847981. The next prime is 6987390848021. The reversal of 6987390848000 is 8480937896.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2297726480 + ... + 2297729520.

Almost surely, 2^{6987390848000} 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 6987390848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034093879200).

6987390848000 is an abundant number, since it is smaller than the sum of its proper divisors (11080796910400).

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

6987390848000 is a wasteful number, since it uses less digits than its factorization.

6987390848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 62.

The spelling of 6987390848000 in words is "six trillion, nine hundred eighty-seven billion, three hundred ninety million, eight hundred forty-eight thousand".