83668001760 has 1152 divisors, whose sum is σ = 364868582400. Its totient is φ = 17801441280.

The previous prime is 83668001731. The next prime is 83668001773. The reversal of 83668001760 is 6710086638.

It is a super-2 number, since 2×83668001760² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 285556174 + ... + 285556466.

It is an arithmetic number, because the mean of its divisors is an integer number (316726200).

Almost surely, 2^83668001760 is an apocalyptic number.

83668001760 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 83668001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182434291200).

83668001760 is an abundant number, since it is smaller than the sum of its proper divisors (281200580640).

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

83668001760 is a wasteful number, since it uses less digits than its factorization.

83668001760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 83668001760 in words is "eighty-three billion, six hundred sixty-eight million, one thousand, seven hundred sixty".