6798420720 has 960 divisors, whose sum is σ = 30184318080. Its totient is φ = 1410877440.

The previous prime is 6798420697. The next prime is 6798420721. The reversal of 6798420720 is 270248976.

6798420720 = T₄₅₆ + T₄₅₇ + ... + T₃₄₄₄.

It is a super-2 number, since 2×6798420720² = 92437048572250636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6798420721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111449490 + ... + 111449550.

It is an arithmetic number, because the mean of its divisors is an integer number (31441998).

Almost surely, 2^6798420720 is an apocalyptic number.

6798420720 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 6798420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092159040).

6798420720 is an abundant number, since it is smaller than the sum of its proper divisors (23385897360).

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

6798420720 is a wasteful number, since it uses less digits than its factorization.

6798420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6798420720 is about 82452.5361647536. The cubic root of 6798420720 is about 1894.3897961747.

The spelling of 6798420720 in words is "six billion, seven hundred ninety-eight million, four hundred twenty thousand, seven hundred twenty".