6961586016 has 576 divisors, whose sum is σ = 25000254720. Its totient is φ = 1672151040.

The previous prime is 6961585999. The next prime is 6961586017. The reversal of 6961586016 is 6106851696.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961586017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71768880 + ... + 71768976.

It is an arithmetic number, because the mean of its divisors is an integer number (43403220).

Almost surely, 2^6961586016 is an apocalyptic number.

6961586016 is a gapful number since it is divisible by the number (66) 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 6961586016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500127360).

6961586016 is an abundant number, since it is smaller than the sum of its proper divisors (18038668704).

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

6961586016 is a wasteful number, since it uses less digits than its factorization.

6961586016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 6961586016 is about 83436.1193728472. The cubic root of 6961586016 is about 1909.4255571739.

The spelling of 6961586016 in words is "six billion, nine hundred sixty-one million, five hundred eighty-six thousand, sixteen".