6978117038592 has 800 divisors, whose sum is σ = 22745865314304. Its totient is φ = 1898549452800.

The previous prime is 6978117038573. The next prime is 6978117038597. The reversal of 6978117038592 is 2958307118796.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6978117038597) 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 79 ways as a sum of consecutive naturals, for example, 7659842617 + ... + 7659843527.

Almost surely, 2^{6978117038592} is an apocalyptic number.

6978117038592 is a gapful number since it is divisible by the number (62) 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 6978117038592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11372932657152).

6978117038592 is an abundant number, since it is smaller than the sum of its proper divisors (15767748275712).

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

6978117038592 is an frugal number, since it uses more digits than its factorization.

6978117038592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 66.

The spelling of 6978117038592 in words is "six trillion, nine hundred seventy-eight billion, one hundred seventeen million, thirty-eight thousand, five hundred ninety-two".