6963875382240 has 1440 divisors, whose sum is σ = 29373720405120. Its totient is φ = 1498109147136.

The previous prime is 6963875382223. The next prime is 6963875382281. The reversal of 6963875382240 is 422835783696.

It is a happy number.

6963875382240 is a `hidden beast` number, since 6 + 9 + 6 + 3 + 8 + 7 + 5 + 382 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×6963875382240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14911938487 + ... + 14911938953.

It is an arithmetic number, because the mean of its divisors is an integer number (20398416948).

Almost surely, 2^{6963875382240} is an apocalyptic number.

6963875382240 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 6963875382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686860202560).

6963875382240 is an abundant number, since it is smaller than the sum of its proper divisors (22409845022880).

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

6963875382240 is a wasteful number, since it uses less digits than its factorization.

6963875382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 6963875382240 in words is "six trillion, nine hundred sixty-three billion, eight hundred seventy-five million, three hundred eighty-two thousand, two hundred forty".