32778007680 has 256 divisors, whose sum is σ = 115588684800. Its totient is φ = 7833907200.

The previous prime is 32778007673. The next prime is 32778007711. The reversal of 32778007680 is 8670087723.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488591 + ... + 1510449.

It is an arithmetic number, because the mean of its divisors is an integer number (451518300).

Almost surely, 2^32778007680 is an apocalyptic number.

32778007680 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 32778007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57794342400).

32778007680 is an abundant number, since it is smaller than the sum of its proper divisors (82810677120).

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

32778007680 is a wasteful number, since it uses less digits than its factorization.

32778007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21963 (or 21951 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 32778007680 in words is "thirty-two billion, seven hundred seventy-eight million, seven thousand, six hundred eighty".