832970096640 has 952 divisors, whose sum is σ = 3280094766288. Its totient is φ = 201295134720.

The previous prime is 832970096639. The next prime is 832970096683. The reversal of 832970096640 is 46690079238.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2627665762 + ... + 2627666078.

Almost surely, 2^832970096640 is an apocalyptic number.

832970096640 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 832970096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640047383144).

832970096640 is an abundant number, since it is smaller than the sum of its proper divisors (2447124669648).

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

832970096640 is an frugal number, since it uses more digits than its factorization.

832970096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 832970096640 in words is "eight hundred thirty-two billion, nine hundred seventy million, ninety-six thousand, six hundred forty".