6981396480 has 480 divisors, whose sum is σ = 26399973600. Its totient is φ = 1759739904.

The previous prime is 6981396463. The next prime is 6981396557. The reversal of 6981396480 is 846931896.

6981396480 is a `hidden beast` number, since 69 + 8 + 13 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15759139 + ... + 15759581.

It is an arithmetic number, because the mean of its divisors is an integer number (54999945).

Almost surely, 2^6981396480 is an apocalyptic number.

6981396480 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 6981396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199986800).

6981396480 is an abundant number, since it is smaller than the sum of its proper divisors (19418577120).

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

6981396480 is a wasteful number, since it uses less digits than its factorization.

6981396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 6981396480 is about 83554.7513909293. The cubic root of 6981396480 is about 1911.2350481890.

The spelling of 6981396480 in words is "six billion, nine hundred eighty-one million, three hundred ninety-six thousand, four hundred eighty".