6634874400 has 864 divisors, whose sum is σ = 28726161408. Its totient is φ = 1312819200.

The previous prime is 6634874387. The next prime is 6634874401. The reversal of 6634874400 is 44784366.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6634874401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 29752689 + ... + 29752911.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 2^6634874400 is an apocalyptic number.

6634874400 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 6634874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14363080704).

6634874400 is an abundant number, since it is smaller than the sum of its proper divisors (22091287008).

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

6634874400 is a wasteful number, since it uses less digits than its factorization.

6634874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 6634874400 is about 81454.7383520443. The cubic root of 6634874400 is about 1879.0755225324.

The spelling of 6634874400 in words is "six billion, six hundred thirty-four million, eight hundred seventy-four thousand, four hundred".