6980926200480 has 576 divisors, whose sum is σ = 25577813439360. Its totient is φ = 1795897184256.

The previous prime is 6980926200461. The next prime is 6980926200533. The reversal of 6980926200480 is 840026290896.

It is a happy number.

6980926200480 is a `hidden beast` number, since 6 + 9 + 8 + 0 + 9 + 2 + 620 + 0 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2179494559 + ... + 2179497761.

It is an arithmetic number, because the mean of its divisors is an integer number (44405926110).

Almost surely, 2^{6980926200480} is an apocalyptic number.

6980926200480 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 6980926200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788906719680).

6980926200480 is an abundant number, since it is smaller than the sum of its proper divisors (18596887238880).

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

6980926200480 is a wasteful number, since it uses less digits than its factorization.

6980926200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 6980926200480 in words is "six trillion, nine hundred eighty billion, nine hundred twenty-six million, two hundred thousand, four hundred eighty".