6978088960 has 208 divisors, whose sum is σ = 17928460800. Its totient is φ = 2599354368.

The previous prime is 6978088951. The next prime is 6978088967. The reversal of 6978088960 is 698808796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6978088967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30740367 + ... + 30740593.

Almost surely, 2^6978088960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6978088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8964230400).

6978088960 is an abundant number, since it is smaller than the sum of its proper divisors (10950371840).

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

6978088960 is a wasteful number, since it uses less digits than its factorization.

6978088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The square root of 6978088960 is about 83534.9565152218. The cubic root of 6978088960 is about 1910.9331770321.

The spelling of 6978088960 in words is "six billion, nine hundred seventy-eight million, eighty-eight thousand, nine hundred sixty".