6897915648 has 864 divisors, whose sum is σ = 25713192960. Its totient is φ = 1751777280.

The previous prime is 6897915641. The next prime is 6897915749. The reversal of 6897915648 is 8465197986.

6897915648 is a `hidden beast` number, since 68 + 9 + 7 + 9 + 1 + 564 + 8 = 666.

It is a super-3 number, since 3×6897915648³ (a number of 30 digits) contains 333 as substring.

Its product of digits (26127360) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6897915641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222513393 + ... + 222513423.

It is an arithmetic number, because the mean of its divisors is an integer number (29760640).

Almost surely, 2^6897915648 is an apocalyptic number.

6897915648 is a gapful number since it is divisible by the number (68) 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 6897915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856596480).

6897915648 is an abundant number, since it is smaller than the sum of its proper divisors (18815277312).

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

6897915648 is a wasteful number, since it uses less digits than its factorization.

6897915648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 6897915648 is about 83053.6913568566. The cubic root of 6897915648 is about 1903.5865448783.

The spelling of 6897915648 in words is "six billion, eight hundred ninety-seven million, nine hundred fifteen thousand, six hundred forty-eight".