834574540800 has 2688 divisors, whose sum is σ = 3931668357120. Its totient is φ = 150523084800.

The previous prime is 834574540769. The next prime is 834574540817. The reversal of 834574540800 is 8045475438.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 834574540800.

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, 14145331171 + ... + 14145331229.

It is an arithmetic number, because the mean of its divisors is an integer number (1462674240).

Almost surely, 2^834574540800 is an apocalyptic number.

834574540800 is a gapful number since it is divisible by the number (80) 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 834574540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965834178560).

834574540800 is an abundant number, since it is smaller than the sum of its proper divisors (3097093816320).

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

834574540800 is a wasteful number, since it uses less digits than its factorization.

834574540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 834574540800 in words is "eight hundred thirty-four billion, five hundred seventy-four million, five hundred forty thousand, eight hundred".