534215705760 has 1152 divisors, whose sum is σ = 2229950580480. Its totient is φ = 117979545600.

The previous prime is 534215705759. The next prime is 534215705813. The reversal of 534215705760 is 67507512435.

It is a happy number.

534215705760 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 1 + 5 + 70 + 576 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 4206422817 + ... + 4206422943.

It is an arithmetic number, because the mean of its divisors is an integer number (1935720990).

Almost surely, 2^534215705760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534215705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114975290240).

534215705760 is an abundant number, since it is smaller than the sum of its proper divisors (1695734874720).

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

534215705760 is a wasteful number, since it uses less digits than its factorization.

534215705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 534215705760 in words is "five hundred thirty-four billion, two hundred fifteen million, seven hundred five thousand, seven hundred sixty".