6978454560 has 1152 divisors, whose sum is σ = 32225921280. Its totient is φ = 1410877440.

The previous prime is 6978454531. The next prime is 6978454583. The reversal of 6978454560 is 654548796.

6978454560 is a `hidden beast` number, since 6 + 9 + 78 + 4 + 5 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6978454497 and 6978454506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188606862 + ... + 188606898.

It is an arithmetic number, because the mean of its divisors is an integer number (27973890).

Almost surely, 2^6978454560 is an apocalyptic number.

6978454560 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 6978454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112960640).

6978454560 is an abundant number, since it is smaller than the sum of its proper divisors (25247466720).

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

6978454560 is a wasteful number, since it uses less digits than its factorization.

6978454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 6978454560 is about 83537.1447920026. The cubic root of 6978454560 is about 1910.9665493481.

The spelling of 6978454560 in words is "six billion, nine hundred seventy-eight million, four hundred fifty-four thousand, five hundred sixty".