32779162416 has 640 divisors, whose sum is σ = 119672340480. Its totient is φ = 7456665600.

The previous prime is 32779162397. The next prime is 32779162417. The reversal of 32779162416 is 61426197723.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (32779162417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87879606 + ... + 87879978.

It is an arithmetic number, because the mean of its divisors is an integer number (186988032).

Almost surely, 2^32779162416 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 32779162416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59836170240).

32779162416 is an abundant number, since it is smaller than the sum of its proper divisors (86893178064).

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

32779162416 is a wasteful number, since it uses less digits than its factorization.

32779162416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The spelling of 32779162416 in words is "thirty-two billion, seven hundred seventy-nine million, one hundred sixty-two thousand, four hundred sixteen".