83243465760 has 1536 divisors, whose sum is σ = 365783040000. Its totient is φ = 15736799232.

The previous prime is 83243465749. The next prime is 83243465791. The reversal of 83243465760 is 6756434238.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 935319796 + ... + 935319884.

It is an arithmetic number, because the mean of its divisors is an integer number (238140000).

Almost surely, 2^83243465760 is an apocalyptic number.

83243465760 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 83243465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520000).

83243465760 is an abundant number, since it is smaller than the sum of its proper divisors (282539574240).

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

83243465760 is a wasteful number, since it uses less digits than its factorization.

83243465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

Adding to 83243465760 its reverse (6756434238), we get a palindrome (89999899998).

The spelling of 83243465760 in words is "eighty-three billion, two hundred forty-three million, four hundred sixty-five thousand, seven hundred sixty".