6978100740 has 192 divisors, whose sum is σ = 22217932800. Its totient is φ = 1622232576.

The previous prime is 6978100711. The next prime is 6978100747. The reversal of 6978100740 is 470018796.

It is a junction number, because it is equal to n+sod(n) for n = 6978100692 and 6978100701.

It is not an unprimeable number, because it can be changed into a prime (6978100747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7098289 + ... + 7099271.

It is an arithmetic number, because the mean of its divisors is an integer number (115718400).

Almost surely, 2^6978100740 is an apocalyptic number.

6978100740 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 6978100740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108966400).

6978100740 is an abundant number, since it is smaller than the sum of its proper divisors (15239832060).

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

6978100740 is a wasteful number, since it uses less digits than its factorization.

6978100740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 6978100740 is about 83535.0270245961. The cubic root of 6978100740 is about 1910.9342523399.

The spelling of 6978100740 in words is "six billion, nine hundred seventy-eight million, one hundred thousand, seven hundred forty".