33378200064 has 480 divisors, whose sum is σ = 112873400640. Its totient is φ = 9765826560.

The previous prime is 33378200059. The next prime is 33378200077. The reversal of 33378200064 is 46000287333.

It is a super-2 number, since 2×33378200064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150972402 + ... + 1150972430.

It is an arithmetic number, because the mean of its divisors is an integer number (235152918).

Almost surely, 2^33378200064 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 33378200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56436700320).

33378200064 is an abundant number, since it is smaller than the sum of its proper divisors (79495200576).

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

33378200064 is an frugal number, since it uses more digits than its factorization.

33378200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 33378200064 its reverse (46000287333), we get a palindrome (79378487397).

The spelling of 33378200064 in words is "thirty-three billion, three hundred seventy-eight million, two hundred thousand, sixty-four".