6980644500480 has 528 divisors, whose sum is σ = 27706674927360. Its totient is φ = 1591909023744.

The previous prime is 6980644500461. The next prime is 6980644500509. The reversal of 6980644500480 is 840054460896.

6980644500480 is a `hidden beast` number, since 6 + 98 + 0 + 6 + 4 + 4 + 500 + 48 + 0 = 666.

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, 141579192 + ... + 141628488.

It is an arithmetic number, because the mean of its divisors is an integer number (52474763120).

Almost surely, 2^{6980644500480} is an apocalyptic number.

6980644500480 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 6980644500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853337463680).

6980644500480 is an abundant number, since it is smaller than the sum of its proper divisors (20726030426880).

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

6980644500480 is a wasteful number, since it uses less digits than its factorization.

6980644500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49774 (or 49753 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6980644500480 in words is "six trillion, nine hundred eighty billion, six hundred forty-four million, five hundred thousand, four hundred eighty".