83641651800 has 384 divisors, whose sum is σ = 321998438400. Its totient is φ = 17527104000.

The previous prime is 83641651787. The next prime is 83641651813. The reversal of 83641651800 is 815614638.

It is an interprime number because it is at equal distance from previous prime (83641651787) and next prime (83641651813).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2456895 + ... + 2490705.

It is an arithmetic number, because the mean of its divisors is an integer number (838537600).

Almost surely, 2^83641651800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83641651800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160999219200).

83641651800 is an abundant number, since it is smaller than the sum of its proper divisors (238356786600).

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

83641651800 is a wasteful number, since it uses less digits than its factorization.

83641651800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33887 (or 33878 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 83641651800 in words is "eighty-three billion, six hundred forty-one million, six hundred fifty-one thousand, eight hundred".