6987355478880 has 384 divisors, whose sum is σ = 26526072222720. Its totient is φ = 1510327296000.

The previous prime is 6987355478833. The next prime is 6987355478881. The reversal of 6987355478880 is 888745537896.

It is a junction number, because it is equal to n+sod(n) for n = 6987355478796 and 6987355478805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6987355478881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35460630 + ... + 35657130.

It is an arithmetic number, because the mean of its divisors is an integer number (69078313080).

Almost surely, 2^{6987355478880} is an apocalyptic number.

6987355478880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6987355478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263036111360).

6987355478880 is an abundant number, since it is smaller than the sum of its proper divisors (19538716743840).

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

6987355478880 is a wasteful number, since it uses less digits than its factorization.

6987355478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197102 (or 197094 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 78.

The spelling of 6987355478880 in words is "six trillion, nine hundred eighty-seven billion, three hundred fifty-five million, four hundred seventy-eight thousand, eight hundred eighty".