83762387712 has 216 divisors, whose sum is σ = 261346036224. Its totient is φ = 26706392064.

The previous prime is 83762387651. The next prime is 83762387749. The reversal of 83762387712 is 21778326738.

It is a happy number.

83762387712 is a `hidden beast` number, since 8 + 3 + 7 + 623 + 8 + 7 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×83762387712² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401513 + ... + 1460055.

Almost surely, 2^83762387712 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 83762387712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130673018112).

83762387712 is an abundant number, since it is smaller than the sum of its proper divisors (177583648512).

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

83762387712 is an equidigital number, since it uses as much as digits as its factorization.

83762387712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58597 (or 58571 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 83762387712 in words is "eighty-three billion, seven hundred sixty-two million, three hundred eighty-seven thousand, seven hundred twelve".