6961113600 has 960 divisors, whose sum is σ = 29226700800. Its totient is φ = 1424424960.

The previous prime is 6961113589. The next prime is 6961113613. The reversal of 6961113600 is 63111696.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148108777 + ... + 148108823.

It is an arithmetic number, because the mean of its divisors is an integer number (30444480).

Almost surely, 2^6961113600 is an apocalyptic number.

6961113600 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 6961113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613350400).

6961113600 is an abundant number, since it is smaller than the sum of its proper divisors (22265587200).

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

6961113600 is a wasteful number, since it uses less digits than its factorization.

6961113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 6961113600 is about 83433.2883206697. The cubic root of 6961113600 is about 1909.3823647372.

It can be divided in two parts, 696 and 1113600, that multiplied together give a square (775065600 = 27840²).

The spelling of 6961113600 in words is "six billion, nine hundred sixty-one million, one hundred thirteen thousand, six hundred".