6896456640 has 784 divisors, whose sum is σ = 27344656512. Its totient is φ = 1648263168.

The previous prime is 6896456587. The next prime is 6896456647. The reversal of 6896456640 is 466546986.

6896456640 is a `hidden beast` number, since 68 + 96 + 456 + 6 + 40 = 666.

It is a super-2 number, since 2×6896456640² = 95122228374800179200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6896456647) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 146733097 + ... + 146733143.

Almost surely, 2^6896456640 is an apocalyptic number.

6896456640 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 6896456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672328256).

6896456640 is an abundant number, since it is smaller than the sum of its proper divisors (20448199872).

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

6896456640 is a wasteful number, since it uses less digits than its factorization.

6896456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 6896456640 is about 83044.9073694468. The cubic root of 6896456640 is about 1903.4523234710.

The spelling of 6896456640 in words is "six billion, eight hundred ninety-six million, four hundred fifty-six thousand, six hundred forty".