6725435774400 has 504 divisors, whose sum is σ = 27533772963840. Its totient is φ = 1525135288320.

The previous prime is 6725435774389. The next prime is 6725435774467. The reversal of 6725435774400 is 44775345276.

6725435774400 is a `hidden beast` number, since 6 + 7 + 2 + 543 + 57 + 7 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12538921 + ... + 13064279.

Almost surely, 2^{6725435774400} is an apocalyptic number.

6725435774400 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 6725435774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766886481920).

6725435774400 is an abundant number, since it is smaller than the sum of its proper divisors (20808337189440).

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

6725435774400 is a wasteful number, since it uses less digits than its factorization.

6725435774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525521 (or 525503 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 6725435774400 in words is "six trillion, seven hundred twenty-five billion, four hundred thirty-five million, seven hundred seventy-four thousand, four hundred".