6996834432000 has 3520 divisors, whose sum is σ = 32449485758976. Its totient is φ = 1462999449600.

The previous prime is 6996834431971. The next prime is 6996834432043. The reversal of 6996834432000 is 2344386996.

6996834432000 is a `hidden beast` number, since 6 + 9 + 96 + 8 + 344 + 3 + 200 + 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 319 ways as a sum of consecutive naturals, for example, 65390975947 + ... + 65390976053.

Almost surely, 2^{6996834432000} is an apocalyptic number.

6996834432000 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 6996834432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224742879488).

6996834432000 is an abundant number, since it is smaller than the sum of its proper divisors (25452651326976).

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

6996834432000 is a wasteful number, since it uses less digits than its factorization.

6996834432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 6996834432000 in words is "six trillion, nine hundred ninety-six billion, eight hundred thirty-four million, four hundred thirty-two thousand".