33378718464 has 1080 divisors, whose sum is σ = 131922621600. Its totient is φ = 8339853312.

The previous prime is 33378718463. The next prime is 33378718511. The reversal of 33378718464 is 46481787333.

33378718464 is a `hidden beast` number, since 33 + 378 + 7 + 184 + 64 = 666.

It is a super-2 number, since 2×33378718464² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 33378718464.

It is not an unprimeable number, because it can be changed into a prime (33378718463) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1756774647 + ... + 1756774665.

Almost surely, 2^33378718464 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 33378718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65961310800).

33378718464 is an abundant number, since it is smaller than the sum of its proper divisors (98543903136).

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

33378718464 is an equidigital number, since it uses as much as digits as its factorization.

33378718464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 33378718464 in words is "thirty-three billion, three hundred seventy-eight million, seven hundred eighteen thousand, four hundred sixty-four".