5634152294400 has 2304 divisors, whose sum is σ = 25928465472000. Its totient is φ = 1169267097600.

The previous prime is 5634152294399. The next prime is 5634152294401. The reversal of 5634152294400 is 44922514365.

5634152294400 is a `hidden beast` number, since 5 + 6 + 3 + 4 + 15 + 229 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5634152294399) and next prime (5634152294401).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (5634152294401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4770661810 + ... + 4770662990.

It is an arithmetic number, because the mean of its divisors is an integer number (11253674250).

Almost surely, 2^{5634152294400} is an apocalyptic number.

5634152294400 is a gapful number since it is divisible by the number (50) 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 5634152294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964232736000).

5634152294400 is an abundant number, since it is smaller than the sum of its proper divisors (20294313177600).

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

5634152294400 is a wasteful number, since it uses less digits than its factorization.

5634152294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5634152294400 in words is "five trillion, six hundred thirty-four billion, one hundred fifty-two million, two hundred ninety-four thousand, four hundred".