83774081040 has 640 divisors, whose sum is σ = 315294819840. Its totient is φ = 18176016384.

The previous prime is 83774081011. The next prime is 83774081063. The reversal of 83774081040 is 4018047738.

It is a junction number, because it is equal to n+sod(n) for n = 83774080983 and 83774081001.

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 127 ways as a sum of consecutive naturals, for example, 97752292 + ... + 97753148.

It is an arithmetic number, because the mean of its divisors is an integer number (492648156).

Almost surely, 2^83774081040 is an apocalyptic number.

83774081040 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 83774081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157647409920).

83774081040 is an abundant number, since it is smaller than the sum of its proper divisors (231520738800).

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

83774081040 is a wasteful number, since it uses less digits than its factorization.

83774081040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 83774081040 in words is "eighty-three billion, seven hundred seventy-four million, eighty-one thousand, forty".