6687974442240 has 2304 divisors, whose sum is σ = 30398708121600. Its totient is φ = 1354442342400.

The previous prime is 6687974442223. The next prime is 6687974442257. The reversal of 6687974442240 is 422444797866.

6687974442240 is a `hidden beast` number, since 6 + 6 + 87 + 9 + 74 + 442 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6687974442223) and next prime (6687974442257).

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 17646370371 + ... + 17646370749.

Almost surely, 2^{6687974442240} is an apocalyptic number.

6687974442240 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 6687974442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15199354060800).

6687974442240 is an abundant number, since it is smaller than the sum of its proper divisors (23710733679360).

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

6687974442240 is a wasteful number, since it uses less digits than its factorization.

6687974442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 6687974442240 in words is "six trillion, six hundred eighty-seven billion, nine hundred seventy-four million, four hundred forty-two thousand, two hundred forty".