83003680762968 has 256 divisors, whose sum is σ = 251054899200000. Its totient is φ = 22834984233600.

The previous prime is 83003680762967. The next prime is 83003680762987. The reversal of 83003680762968 is 86926708630038.

It is a super-2 number, since 2×83003680762968² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83003680762899 and 83003680762908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83003680762967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49965973 + ... + 51600443.

It is an arithmetic number, because the mean of its divisors is an integer number (980683200000).

Almost surely, 2^{83003680762968} 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 83003680762968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125527449600000).

83003680762968 is an abundant number, since it is smaller than the sum of its proper divisors (168051218437032).

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

83003680762968 is a wasteful number, since it uses less digits than its factorization.

83003680762968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634731 (or 1634713 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 83003680762968 in words is "eighty-three trillion, three billion, six hundred eighty million, seven hundred sixty-two thousand, nine hundred sixty-eight".