6896601600 has 240 divisors, whose sum is σ = 26038148928. Its totient is φ = 1576304640.

The previous prime is 6896601587. The next prime is 6896601601. The reversal of 6896601600 is 61066986.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6896601600² = 95126227258245120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6896601601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255972 + ... + 281628.

Almost surely, 2^6896601600 is an apocalyptic number.

6896601600 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 6896601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13019074464).

6896601600 is an abundant number, since it is smaller than the sum of its proper divisors (19141547328).

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

6896601600 is a wasteful number, since it uses less digits than its factorization.

6896601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25695 (or 25674 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 6896601600 is about 83045.7801456522. The cubic root of 6896601600 is about 1903.4656599097.

The spelling of 6896601600 in words is "six billion, eight hundred ninety-six million, six hundred one thousand, six hundred".