534965472000 has 864 divisors, whose sum is σ = 2021298027840. Its totient is φ = 140872089600.

The previous prime is 534965471993. The next prime is 534965472007. The reversal of 534965472000 is 274569435.

534965472000 is a `hidden beast` number, since 5 + 349 + 65 + 47 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (534965471993) and next prime (534965472007).

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 not an unprimeable number, because it can be changed into a prime (534965472007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692063614 + ... + 692064386.

It is an arithmetic number, because the mean of its divisors is an integer number (2339465310).

Almost surely, 2^534965472000 is an apocalyptic number.

534965472000 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 534965472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010649013920).

534965472000 is an abundant number, since it is smaller than the sum of its proper divisors (1486332555840).

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

534965472000 is an frugal number, since it uses more digits than its factorization.

534965472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 534965472000 in words is "five hundred thirty-four billion, nine hundred sixty-five million, four hundred seventy-two thousand".