6987671040 has 320 divisors, whose sum is σ = 26877565440. Its totient is φ = 1512898560.

The previous prime is 6987671023. The next prime is 6987671051. The reversal of 6987671040 is 401767896.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018020 + ... + 1024860.

It is an arithmetic number, because the mean of its divisors is an integer number (83992392).

Almost surely, 2^6987671040 is an apocalyptic number.

6987671040 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 6987671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13438782720).

6987671040 is an abundant number, since it is smaller than the sum of its proper divisors (19889894400).

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

6987671040 is a wasteful number, since it uses less digits than its factorization.

6987671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 6987671040 is about 83592.2905536151. The cubic root of 6987671040 is about 1911.8074536355.

The spelling of 6987671040 in words is "six billion, nine hundred eighty-seven million, six hundred seventy-one thousand, forty".