83327789664 has 360 divisors, whose sum is σ = 285911714088. Its totient is φ = 23738158080.

The previous prime is 83327789627. The next prime is 83327789693. The reversal of 83327789664 is 46698772338.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56263804 + ... + 56265284.

Almost surely, 2^83327789664 is an apocalyptic number.

83327789664 is a gapful number since it is divisible by the number (84) 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 83327789664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142955857044).

83327789664 is an abundant number, since it is smaller than the sum of its proper divisors (202583924424).

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

83327789664 is a wasteful number, since it uses less digits than its factorization.

83327789664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1936 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 83327789664 in words is "eighty-three billion, three hundred twenty-seven million, seven hundred eighty-nine thousand, six hundred sixty-four".