6834944677400 has 192 divisors, whose sum is σ = 18888445466880. Its totient is φ = 2251387353600.

The previous prime is 6834944677273. The next prime is 6834944677411. The reversal of 6834944677400 is 47764494386.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741567 + ... + 4602833.

It is an arithmetic number, because the mean of its divisors is an integer number (98377320140).

Almost surely, 2^{6834944677400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6834944677400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444222733440).

6834944677400 is an abundant number, since it is smaller than the sum of its proper divisors (12053500789480).

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

6834944677400 is a wasteful number, since it uses less digits than its factorization.

6834944677400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861394 (or 1861385 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 62.

The spelling of 6834944677400 in words is "six trillion, eight hundred thirty-four billion, nine hundred forty-four million, six hundred seventy-seven thousand, four hundred".