6979374720 has 640 divisors, whose sum is σ = 26587630080. Its totient is φ = 1741824000.

The previous prime is 6979374653. The next prime is 6979374737. The reversal of 6979374720 is 274739796.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 69102670 + ... + 69102770.

It is an arithmetic number, because the mean of its divisors is an integer number (41543172).

Almost surely, 2^6979374720 is an apocalyptic number.

6979374720 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 6979374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293815040).

6979374720 is an abundant number, since it is smaller than the sum of its proper divisors (19608255360).

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

6979374720 is a wasteful number, since it uses less digits than its factorization.

6979374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 6979374720 is about 83542.6521005887. The cubic root of 6979374720 is about 1911.0505372704.

The spelling of 6979374720 in words is "six billion, nine hundred seventy-nine million, three hundred seventy-four thousand, seven hundred twenty".