83163749760 has 1920 divisors, whose sum is σ = 394661615040. Its totient is φ = 16243752960.

The previous prime is 83163749719. The next prime is 83163749771. The reversal of 83163749760 is 6794736138.

83163749760 is a `hidden beast` number, since 8 + 31 + 63 + 7 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83163749697 and 83163749706.

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 239 ways as a sum of consecutive naturals, for example, 1363340130 + ... + 1363340190.

Almost surely, 2^83163749760 is an apocalyptic number.

83163749760 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 83163749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197330807520).

83163749760 is an abundant number, since it is smaller than the sum of its proper divisors (311497865280).

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

83163749760 is a wasteful number, since it uses less digits than its factorization.

83163749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 83163749760 in words is "eighty-three billion, one hundred sixty-three million, seven hundred forty-nine thousand, seven hundred sixty".