6978493440 has 528 divisors, whose sum is σ = 25750932480. Its totient is φ = 1811496960.

The previous prime is 6978493439. The next prime is 6978493477. The reversal of 6978493440 is 443948796.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88335321 + ... + 88335399.

Almost surely, 2^6978493440 is an apocalyptic number.

6978493440 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 6978493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875466240).

6978493440 is an abundant number, since it is smaller than the sum of its proper divisors (18772439040).

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

6978493440 is an equidigital number, since it uses as much as digits as its factorization.

6978493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6978493440 is about 83537.3775025288. The cubic root of 6978493440 is about 1910.9700982829.

The spelling of 6978493440 in words is "six billion, nine hundred seventy-eight million, four hundred ninety-three thousand, four hundred forty".