6978528000 has 576 divisors, whose sum is σ = 26516730240. Its totient is φ = 1806336000.

The previous prime is 6978527989. The next prime is 6978528019. The reversal of 6978528000 is 8258796.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35423902 + ... + 35424098.

It is an arithmetic number, because the mean of its divisors is an integer number (46035990).

Almost surely, 2^6978528000 is an apocalyptic number.

6978528000 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 6978528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258365120).

6978528000 is an abundant number, since it is smaller than the sum of its proper divisors (19538202240).

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

6978528000 is a wasteful number, since it uses less digits than its factorization.

6978528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 6978528000 is about 83537.5843557856. The cubic root of 6978528000 is about 1910.9732528806.

The spelling of 6978528000 in words is "six billion, nine hundred seventy-eight million, five hundred twenty-eight thousand".