6978090240 has 432 divisors, whose sum is σ = 26861103360. Its totient is φ = 1658142720.

The previous prime is 6978090227. The next prime is 6978090277. The reversal of 6978090240 is 420908796.

It is a happy number.

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

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, 6715641 + ... + 6716679.

It is an arithmetic number, because the mean of its divisors is an integer number (62178480).

Almost surely, 2^6978090240 is an apocalyptic number.

6978090240 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 6978090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430551680).

6978090240 is an abundant number, since it is smaller than the sum of its proper divisors (19883013120).

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

6978090240 is a wasteful number, since it uses less digits than its factorization.

6978090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6978090240 is about 83534.9641766847. The cubic root of 6978090240 is about 1910.9332938737.

The spelling of 6978090240 in words is "six billion, nine hundred seventy-eight million, ninety thousand, two hundred forty".