33561006400 has 84 divisors (see below), whose sum is σ = 82618275708. Its totient is φ = 13418352640.

The previous prime is 33561006359. The next prime is 33561006469. The reversal of 33561006400 is 460016533.

It can be written as a sum of positive squares in 6 ways, for example, as 381655296 + 33179351104 = 19536^2 + 182152^2 .

It is a super-2 number, since 2×33561006400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5688252 + ... + 5694148.

Almost surely, 2^33561006400 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 33561006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41309137854).

33561006400 is an abundant number, since it is smaller than the sum of its proper divisors (49057269308).

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

33561006400 is a wasteful number, since it uses less digits than its factorization.

33561006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9476 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 33561006400 in words is "thirty-three billion, five hundred sixty-one million, six thousand, four hundred".