832974503680 has 216 divisors, whose sum is σ = 2249134180272. Its totient is φ = 293124096000.

The previous prime is 832974503671. The next prime is 832974503729. The reversal of 832974503680 is 86305479238.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13500100 + ... + 13561660.

It is an arithmetic number, because the mean of its divisors is an integer number (10412658242).

Almost surely, 2^832974503680 is an apocalyptic number.

832974503680 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 832974503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124567090136).

832974503680 is an abundant number, since it is smaller than the sum of its proper divisors (1416159676592).

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

832974503680 is a wasteful number, since it uses less digits than its factorization.

832974503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61655 (or 61610 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 832974503680 in words is "eight hundred thirty-two billion, nine hundred seventy-four million, five hundred three thousand, six hundred eighty".