834578324640 has 384 divisors, whose sum is σ = 3018029414400. Its totient is φ = 215176642560.

The previous prime is 834578324611. The next prime is 834578324663. The reversal of 834578324640 is 46423875438.

834578324640 is a `hidden beast` number, since 8 + 3 + 4 + 578 + 3 + 2 + 4 + 64 + 0 = 666.

It is a super-2 number, since 2×834578324640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194583616 + ... + 194587904.

It is an arithmetic number, because the mean of its divisors is an integer number (7859451600).

Almost surely, 2^834578324640 is an apocalyptic number.

834578324640 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 834578324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509014707200).

834578324640 is an abundant number, since it is smaller than the sum of its proper divisors (2183451089760).

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

834578324640 is a wasteful number, since it uses less digits than its factorization.

834578324640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 834578324640 in words is "eight hundred thirty-four billion, five hundred seventy-eight million, three hundred twenty-four thousand, six hundred forty".