6978384000 has 1152 divisors, whose sum is σ = 31127690880. Its totient is φ = 1490227200.

The previous prime is 6978383983. The next prime is 6978384013. The reversal of 6978384000 is 4838796.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162287979 + ... + 162288021.

It is an arithmetic number, because the mean of its divisors is an integer number (27020565).

Almost surely, 2^6978384000 is an apocalyptic number.

6978384000 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 6978384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563845440).

6978384000 is an abundant number, since it is smaller than the sum of its proper divisors (24149306880).

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

6978384000 is a wasteful number, since it uses less digits than its factorization.

6978384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6978384000 is about 83536.7224638362. The cubic root of 6978384000 is about 1910.9601086549.

The spelling of 6978384000 in words is "six billion, nine hundred seventy-eight million, three hundred eighty-four thousand".