6634406502400 has 336 divisors, whose sum is σ = 17354995526160. Its totient is φ = 2508757401600.

The previous prime is 6634406502371. The next prime is 6634406502461. The reversal of 6634406502400 is 42056044366.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2167396870 + ... + 2167399930.

Almost surely, 2^{6634406502400} 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 6634406502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8677497763080).

6634406502400 is an abundant number, since it is smaller than the sum of its proper divisors (10720589023760).

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

6634406502400 is a wasteful number, since it uses less digits than its factorization.

6634406502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 6634406502400 in words is "six trillion, six hundred thirty-four billion, four hundred six million, five hundred two thousand, four hundred".