6961167360 has 396 divisors, whose sum is σ = 28067366808. Its totient is φ = 1590607872.

The previous prime is 6961167299. The next prime is 6961167449. The reversal of 6961167360 is 637611696.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2256379 + ... + 2259461.

Almost surely, 2^6961167360 is an apocalyptic number.

6961167360 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 6961167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14033683404).

6961167360 is an abundant number, since it is smaller than the sum of its proper divisors (21106199448).

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

6961167360 is a wasteful number, since it uses less digits than its factorization.

6961167360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 6961167360 is about 83433.6104936134. The cubic root of 6961167360 is about 1909.3872800490.

The spelling of 6961167360 in words is "six billion, nine hundred sixty-one million, one hundred sixty-seven thousand, three hundred sixty".