534333883776 has 1024 divisors, whose sum is σ = 1973615984640. Its totient is φ = 123833548800.

The previous prime is 534333883717. The next prime is 534333883801. The reversal of 534333883776 is 677388333435.

It is a super-2 number, since 2×534333883776² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 825863485 + ... + 825864131.

It is an arithmetic number, because the mean of its divisors is an integer number (1927359360).

Almost surely, 2^534333883776 is an apocalyptic number.

534333883776 is a gapful number since it is divisible by the number (56) 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 534333883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986807992320).

534333883776 is an abundant number, since it is smaller than the sum of its proper divisors (1439282100864).

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

534333883776 is a wasteful number, since it uses less digits than its factorization.

534333883776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 771 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 60.

The spelling of 534333883776 in words is "five hundred thirty-four billion, three hundred thirty-three million, eight hundred eighty-three thousand, seven hundred seventy-six".