6965327040 has 448 divisors, whose sum is σ = 28178150400. Its totient is φ = 1419116544.

The previous prime is 6965327003. The next prime is 6965327041. The reversal of 6965327040 is 407235696.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 6965326983 and 6965327001.

It is not an unprimeable number, because it can be changed into a prime (6965327041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2168956 + ... + 2172164.

Almost surely, 2^6965327040 is an apocalyptic number.

6965327040 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 6965327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089075200).

6965327040 is an abundant number, since it is smaller than the sum of its proper divisors (21212823360).

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

6965327040 is a wasteful number, since it uses less digits than its factorization.

6965327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 6965327040 is about 83458.5348541418. The cubic root of 6965327040 is about 1909.7675255922.

The spelling of 6965327040 in words is "six billion, nine hundred sixty-five million, three hundred twenty-seven thousand, forty".