6634711049400 has 576 divisors, whose sum is σ = 27189811883520. Its totient is φ = 1416833510400.

The previous prime is 6634711049383. The next prime is 6634711049411. The reversal of 6634711049400 is 49401174366.

6634711049400 is a `hidden beast` number, since 6 + 6 + 3 + 47 + 110 + 494 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12195190 + ... + 12727610.

It is an arithmetic number, because the mean of its divisors is an integer number (47204534520).

Almost surely, 2^{6634711049400} is an apocalyptic number.

6634711049400 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 6634711049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594905941760).

6634711049400 is an abundant number, since it is smaller than the sum of its proper divisors (20555100834120).

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

6634711049400 is a wasteful number, since it uses less digits than its factorization.

6634711049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532516 (or 532504 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6634711049400 in words is "six trillion, six hundred thirty-four billion, seven hundred eleven million, forty-nine thousand, four hundred".