6955597440 has 1024 divisors, whose sum is σ = 29470003200. Its totient is φ = 1532805120.

The previous prime is 6955597433. The next prime is 6955597469. The reversal of 6955597440 is 447955596.

6955597440 is a `hidden beast` number, since 6 + 9 + 5 + 5 + 597 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161758059 + ... + 161758101.

It is an arithmetic number, because the mean of its divisors is an integer number (28779300).

Almost surely, 2^6955597440 is an apocalyptic number.

6955597440 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 6955597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735001600).

6955597440 is an abundant number, since it is smaller than the sum of its proper divisors (22514405760).

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

6955597440 is a wasteful number, since it uses less digits than its factorization.

6955597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 6955597440 is about 83400.2244601296. The cubic root of 6955597440 is about 1908.8778840599.

The spelling of 6955597440 in words is "six billion, nine hundred fifty-five million, five hundred ninety-seven thousand, four hundred forty".