534644906400 has 864 divisors, whose sum is σ = 2245281292800. Its totient is φ = 122779929600.

The previous prime is 534644906363. The next prime is 534644906431. The reversal of 534644906400 is 4609446435.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40623021 + ... + 40636179.

It is an arithmetic number, because the mean of its divisors is an integer number (2598705200).

Almost surely, 2^534644906400 is an apocalyptic number.

534644906400 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 534644906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122640646400).

534644906400 is an abundant number, since it is smaller than the sum of its proper divisors (1710636386400).

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

534644906400 is a wasteful number, since it uses less digits than its factorization.

534644906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13224 (or 13199 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 534644906400 in words is "five hundred thirty-four billion, six hundred forty-four million, nine hundred six thousand, four hundred".