83762894831616 has 3584 divisors, whose sum is σ = 351194385346560. Its totient is φ = 19263179980800.

The previous prime is 83762894831543. The next prime is 83762894831659. The reversal of 83762894831616 is 61613849826738.

83762894831616 is a `hidden beast` number, since 8 + 3 + 7 + 6 + 2 + 89 + 483 + 1 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 741264555976 + ... + 741264556088.

It is an arithmetic number, because the mean of its divisors is an integer number (97989504840).

Almost surely, 2^{83762894831616} 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 83762894831616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175597192673280).

83762894831616 is an abundant number, since it is smaller than the sum of its proper divisors (267431490514944).

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

83762894831616 is a wasteful number, since it uses less digits than its factorization.

83762894831616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 180 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 83762894831616 in words is "eighty-three trillion, seven hundred sixty-two billion, eight hundred ninety-four million, eight hundred thirty-one thousand, six hundred sixteen".