6993140616000 has 3584 divisors, whose sum is σ = 33895523450880. Its totient is φ = 1368576000000.

The previous prime is 6993140615987. The next prime is 6993140616013. The reversal of 6993140616000 is 6160413996.

6993140616000 is a `hidden beast` number, since 6 + 9 + 9 + 31 + 4 + 0 + 6 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6993140615987) and next prime (6993140616013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 38636135910 + ... + 38636136090.

It is an arithmetic number, because the mean of its divisors is an integer number (9457456320).

Almost surely, 2^{6993140616000} is an apocalyptic number.

6993140616000 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 6993140616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947761725440).

6993140616000 is an abundant number, since it is smaller than the sum of its proper divisors (26902382834880).

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

6993140616000 is a wasteful number, since it uses less digits than its factorization.

6993140616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 6993140616000 in words is "six trillion, nine hundred ninety-three billion, one hundred forty million, six hundred sixteen thousand".