6961340160 has 432 divisors, whose sum is σ = 25238723328. Its totient is φ = 1769472000.

The previous prime is 6961340159. The next prime is 6961340161. The reversal of 6961340160 is 610431696.

It is an interprime number because it is at equal distance from previous prime (6961340159) and next prime (6961340161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961340161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36069024 + ... + 36069216.

Almost surely, 2^6961340160 is an apocalyptic number.

6961340160 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 6961340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619361664).

6961340160 is an abundant number, since it is smaller than the sum of its proper divisors (18277383168).

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

6961340160 is a wasteful number, since it uses less digits than its factorization.

6961340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6961340160 is about 83434.6460410782. The cubic root of 6961340160 is about 1909.4030790942.

The spelling of 6961340160 in words is "six billion, nine hundred sixty-one million, three hundred forty thousand, one hundred sixty".