534891441756672 has 7680 divisors, whose sum is σ = 2424750806016000. Its totient is φ = 111967233638400.

The previous prime is 534891441756631. The next prime is 534891441756677. The reversal of 534891441756672 is 276657144198435.

534891441756672 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 9 + 1 + 44 + 17 + 566 + 7 + 2 = 666.

It is a super-2 number, since 2×534891441756672² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 534891441756672.

It is not an unprimeable number, because it can be changed into a prime (534891441756677) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7327280024028 + ... + 7327280024100.

It is an arithmetic number, because the mean of its divisors is an integer number (315722761200).

Almost surely, 2^{534891441756672} is an apocalyptic number.

534891441756672 is a gapful number since it is divisible by the number (52) 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 534891441756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212375403008000).

534891441756672 is an abundant number, since it is smaller than the sum of its proper divisors (1889859364259328).

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

534891441756672 is a wasteful number, since it uses less digits than its factorization.

534891441756672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 188 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

It can be divided in two parts, 53489144 and 1756672, that added together give a triangular number (55245816 = T₁₀₅₁₁).

The spelling of 534891441756672 in words is "five hundred thirty-four trillion, eight hundred ninety-one billion, four hundred forty-one million, seven hundred fifty-six thousand, six hundred seventy-two".