6897346560 has 768 divisors, whose sum is σ = 28068768000. Its totient is φ = 1592524800.

The previous prime is 6897346553. The next prime is 6897346619. The reversal of 6897346560 is 656437986.

6897346560 is a `hidden beast` number, since 6 + 8 + 9 + 73 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 6897346497 and 6897346506.

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, 68290510 + ... + 68290610.

It is an arithmetic number, because the mean of its divisors is an integer number (36547875).

Almost surely, 2^6897346560 is an apocalyptic number.

6897346560 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 6897346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384000).

6897346560 is an abundant number, since it is smaller than the sum of its proper divisors (21171421440).

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

6897346560 is a wasteful number, since it uses less digits than its factorization.

6897346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6897346560 is about 83050.2652614668. The cubic root of 6897346560 is about 1903.5341938924.

The spelling of 6897346560 in words is "six billion, eight hundred ninety-seven million, three hundred forty-six thousand, five hundred sixty".