32077814076 has 960 divisors, whose sum is σ = 118650470400. Its totient is φ = 7306329600.

The previous prime is 32077814071. The next prime is 32077814081. The reversal of 32077814076 is 67041877023.

It is an interprime number because it is at equal distance from previous prime (32077814071) and next prime (32077814081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32077814071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 543691735 + ... + 543691793.

It is an arithmetic number, because the mean of its divisors is an integer number (123594240).

Almost surely, 2^32077814076 is an apocalyptic number.

32077814076 is a gapful number since it is divisible by the number (36) 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 32077814076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59325235200).

32077814076 is an abundant number, since it is smaller than the sum of its proper divisors (86572656324).

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

32077814076 is a wasteful number, since it uses less digits than its factorization.

32077814076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 32077814076 in words is "thirty-two billion, seventy-seven million, eight hundred fourteen thousand, seventy-six".