6983878164480 has 720 divisors, whose sum is σ = 28693951802880. Its totient is φ = 1596283158528.

The previous prime is 6983878164479. The next prime is 6983878164511. The reversal of 6983878164480 is 844618783896.

6983878164480 is a `hidden beast` number, since 6 + 9 + 8 + 3 + 8 + 7 + 81 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 6983878164399 and 6983878164408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139320861 + ... + 139370979.

Almost surely, 2^{6983878164480} is an apocalyptic number.

6983878164480 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 6983878164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14346975901440).

6983878164480 is an abundant number, since it is smaller than the sum of its proper divisors (21710073638400).

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

6983878164480 is an frugal number, since it uses more digits than its factorization.

6983878164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50174 (or 50136 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 6983878164480 in words is "six trillion, nine hundred eighty-three billion, eight hundred seventy-eight million, one hundred sixty-four thousand, four hundred eighty".