6956616960 has 360 divisors, whose sum is σ = 25086073320. Its totient is φ = 1840693248.

The previous prime is 6956616923. The next prime is 6956616967. The reversal of 6956616960 is 696166596.

It is a happy number.

6956616960 is a `hidden beast` number, since 6 + 9 + 566 + 16 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3978077184 + 2978539776 = 63072^2 + 54576^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 6956616897 and 6956616906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6956616967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23742574 + ... + 23742866.

It is an arithmetic number, because the mean of its divisors is an integer number (69683537).

Almost surely, 2^6956616960 is an apocalyptic number.

6956616960 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 6956616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12543036660).

6956616960 is an abundant number, since it is smaller than the sum of its proper divisors (18129456360).

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

6956616960 is a wasteful number, since it uses less digits than its factorization.

6956616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 6956616960 is about 83406.3364499365. The cubic root of 6956616960 is about 1908.9711443978.

The spelling of 6956616960 in words is "six billion, nine hundred fifty-six million, six hundred sixteen thousand, nine hundred sixty".