1983036077568 has 2160 divisors, whose sum is σ = 8009118477360. Its totient is φ = 466530140160.

The previous prime is 1983036077567. The next prime is 1983036077621. The reversal of 1983036077568 is 8657706303891.

1983036077568 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 0 + 3 + 60 + 7 + 7 + 568 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983036077563) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 53595569646 + ... + 53595569682.

It is an arithmetic number, because the mean of its divisors is an integer number (3707925221).

Almost surely, 2^{1983036077568} is an apocalyptic number.

1983036077568 is a gapful number since it is divisible by the number (18) 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 1983036077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004559238680).

1983036077568 is an abundant number, since it is smaller than the sum of its proper divisors (6026082399792).

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

1983036077568 is a wasteful number, since it uses less digits than its factorization.

1983036077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1983036077568 in words is "one trillion, nine hundred eighty-three billion, thirty-six million, seventy-seven thousand, five hundred sixty-eight".