6978273120 has 960 divisors, whose sum is σ = 31125257856. Its totient is φ = 1433272320.

The previous prime is 6978273091. The next prime is 6978273121. The reversal of 6978273120 is 213728796.

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 (6978273121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71940912 + ... + 71941008.

Almost surely, 2^6978273120 is an apocalyptic number.

6978273120 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 6978273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562628928).

6978273120 is an abundant number, since it is smaller than the sum of its proper divisors (24146984736).

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

6978273120 is a wasteful number, since it uses less digits than its factorization.

6978273120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6978273120 is about 83536.0588009753. The cubic root of 6978273120 is about 1910.9499874779.

The spelling of 6978273120 in words is "six billion, nine hundred seventy-eight million, two hundred seventy-three thousand, one hundred twenty".