6996213544320 has 2304 divisors, whose sum is σ = 33832970196480. Its totient is φ = 1341542891520.

The previous prime is 6996213544223. The next prime is 6996213544339. The reversal of 6996213544320 is 234453126996.

6996213544320 is a `hidden beast` number, since 6 + 9 + 9 + 62 + 1 + 3 + 544 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2023780032 + ... + 2023783488.

It is an arithmetic number, because the mean of its divisors is an integer number (14684448870).

Almost surely, 2^{6996213544320} is an apocalyptic number.

6996213544320 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 6996213544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916485098240).

6996213544320 is an abundant number, since it is smaller than the sum of its proper divisors (26836756652160).

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

6996213544320 is a wasteful number, since it uses less digits than its factorization.

6996213544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 6996213544320 in words is "six trillion, nine hundred ninety-six billion, two hundred thirteen million, five hundred forty-four thousand, three hundred twenty".