6898832446464 has 880 divisors, whose sum is σ = 25143757562880. Its totient is φ = 1841595678720.

The previous prime is 6898832446463. The next prime is 6898832446481. The reversal of 6898832446464 is 4646442388986.

6898832446464 is a `hidden beast` number, since 6 + 8 + 9 + 8 + 83 + 24 + 464 + 64 = 666.

It is a super-2 number, since 2×6898832446464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6898832446392 and 6898832446401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6898832446463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521959984 + ... + 521973200.

It is an arithmetic number, because the mean of its divisors is an integer number (28572451776).

Almost surely, 2^{6898832446464} is an apocalyptic number.

6898832446464 is a gapful number since it is divisible by the number (64) 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 6898832446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571878781440).

6898832446464 is an abundant number, since it is smaller than the sum of its proper divisors (18244925116416).

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

6898832446464 is a wasteful number, since it uses less digits than its factorization.

6898832446464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13316 (or 13289 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 72.

The spelling of 6898832446464 in words is "six trillion, eight hundred ninety-eight billion, eight hundred thirty-two million, four hundred forty-six thousand, four hundred sixty-four".