32778483360 has 576 divisors, whose sum is σ = 129031926912. Its totient is φ = 6948716544.

The previous prime is 32778483349. The next prime is 32778483371. The reversal of 32778483360 is 6338487723.

It is an interprime number because it is at equal distance from previous prime (32778483349) and next prime (32778483371).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29187759 + ... + 29188881.

It is an arithmetic number, because the mean of its divisors is an integer number (224013762).

Almost surely, 2^32778483360 is an apocalyptic number.

32778483360 is a gapful number since it is divisible by the number (30) 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 32778483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64515963456).

32778483360 is an abundant number, since it is smaller than the sum of its proper divisors (96253443552).

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

32778483360 is a wasteful number, since it uses less digits than its factorization.

32778483360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 32778483360 in words is "thirty-two billion, seven hundred seventy-eight million, four hundred eighty-three thousand, three hundred sixty".