6696461002140 has 288 divisors, whose sum is σ = 25139797562880. Its totient is φ = 1404985886208.

The previous prime is 6696461002123. The next prime is 6696461002141. The reversal of 6696461002140 is 412001646966.

It is a happy number.

6696461002140 is a `hidden beast` number, since 6 + 6 + 9 + 6 + 4 + 610 + 0 + 21 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6696461002141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1790067 + ... + 4073973.

It is an arithmetic number, because the mean of its divisors is an integer number (87290963760).

Almost surely, 2^{6696461002140} is an apocalyptic number.

6696461002140 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 6696461002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12569898781440).

6696461002140 is an abundant number, since it is smaller than the sum of its proper divisors (18443336560740).

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

6696461002140 is a wasteful number, since it uses less digits than its factorization.

6696461002140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284121 (or 2284116 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 6696461002140 in words is "six trillion, six hundred ninety-six billion, four hundred sixty-one million, two thousand, one hundred forty".