6996769401600 has 1296 divisors, whose sum is σ = 28390780061280. Its totient is φ = 1628386099200.

The previous prime is 6996769401593. The next prime is 6996769401649. The reversal of 6996769401600 is 61049676996.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3546258214 + ... + 3546260186.

Almost surely, 2^{6996769401600} is an apocalyptic number.

6996769401600 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 6996769401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195390030640).

6996769401600 is an abundant number, since it is smaller than the sum of its proper divisors (21394010659680).

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

6996769401600 is a wasteful number, since it uses less digits than its factorization.

6996769401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 6996769401600 in words is "six trillion, nine hundred ninety-six billion, seven hundred sixty-nine million, four hundred one thousand, six hundred".