6971878932480 has 3456 divisors, whose sum is σ = 34082448744960. Its totient is φ = 1331775406080.

The previous prime is 6971878932467. The next prime is 6971878932511. The reversal of 6971878932480 is 842398781796.

6971878932480 is a `hidden beast` number, since 6 + 9 + 71 + 8 + 78 + 9 + 3 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6971878932399 and 6971878932408.

It is a congruent number.

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, 162136719339 + ... + 162136719381.

It is an arithmetic number, because the mean of its divisors is an integer number (9861819660).

Almost surely, 2^{6971878932480} is an apocalyptic number.

6971878932480 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 6971878932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041224372480).

6971878932480 is an abundant number, since it is smaller than the sum of its proper divisors (27110569812480).

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

6971878932480 is a wasteful number, since it uses less digits than its factorization.

6971878932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 6971878932480 in words is "six trillion, nine hundred seventy-one billion, eight hundred seventy-eight million, nine hundred thirty-two thousand, four hundred eighty".