6966536640 has 224 divisors, whose sum is σ = 25867522560. Its totient is φ = 1555255296.

The previous prime is 6966536593. The next prime is 6966536651. The reversal of 6966536640 is 466356696.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276906 + ... + 301014.

Almost surely, 2^6966536640 is an apocalyptic number.

6966536640 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 6966536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933761280).

6966536640 is an abundant number, since it is smaller than the sum of its proper divisors (18900985920).

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

6966536640 is a wasteful number, since it uses less digits than its factorization.

6966536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24179 (or 24169 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The square root of 6966536640 is about 83465.7812519598. The cubic root of 6966536640 is about 1909.8780693889.

The spelling of 6966536640 in words is "six billion, nine hundred sixty-six million, five hundred thirty-six thousand, six hundred forty".