83830256640 has 1056 divisors, whose sum is σ = 333474575616. Its totient is φ = 20065812480.

The previous prime is 83830256617. The next prime is 83830256651. The reversal of 83830256640 is 4665203838.

It is a happy number.

83830256640 is a `hidden beast` number, since 8 + 3 + 83 + 0 + 2 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1148359644 + ... + 1148359716.

Almost surely, 2^83830256640 is an apocalyptic number.

83830256640 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 83830256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166737287808).

83830256640 is an abundant number, since it is smaller than the sum of its proper divisors (249644318976).

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

83830256640 is a wasteful number, since it uses less digits than its factorization.

83830256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 83830256640 in words is "eighty-three billion, eight hundred thirty million, two hundred fifty-six thousand, six hundred forty".