6957314778240 has 640 divisors, whose sum is σ = 26217784771200. Its totient is φ = 1754653114368.

The previous prime is 6957314778179. The next prime is 6957314778241. The reversal of 6957314778240 is 428774137596.

6957314778240 is a `hidden beast` number, since 6 + 9 + 5 + 7 + 314 + 7 + 78 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (6957314778241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106083699 + ... + 106149261.

It is an arithmetic number, because the mean of its divisors is an integer number (40965288705).

It is a 1-persistent number, because it is pandigital, but 2⋅6957314778240 = 13914629556480 is not.

Almost surely, 2^{6957314778240} is an apocalyptic number.

6957314778240 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 6957314778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108892385600).

6957314778240 is an abundant number, since it is smaller than the sum of its proper divisors (19260469992960).

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

6957314778240 is a wasteful number, since it uses less digits than its factorization.

6957314778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65706 (or 65685 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 6957314778240 in words is "six trillion, nine hundred fifty-seven billion, three hundred fourteen million, seven hundred seventy-eight thousand, two hundred forty".