534343672800 has 1152 divisors, whose sum is σ = 2426244710400. Its totient is φ = 110663055360.

The previous prime is 534343672799. The next prime is 534343672861. The reversal of 534343672800 is 8276343435.

534343672800 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 4 + 367 + 280 + 0 = 666.

It is a super-2 number, since 2×534343672800² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66070357 + ... + 66078443.

It is an arithmetic number, because the mean of its divisors is an integer number (2106115200).

Almost surely, 2^534343672800 is an apocalyptic number.

534343672800 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 534343672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213122355200).

534343672800 is an abundant number, since it is smaller than the sum of its proper divisors (1891901037600).

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

534343672800 is a wasteful number, since it uses less digits than its factorization.

534343672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8165 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 534343672800 in words is "five hundred thirty-four billion, three hundred forty-three million, six hundred seventy-two thousand, eight hundred".