33420699648 has 288 divisors, whose sum is σ = 116128958400. Its totient is φ = 9045540864.

The previous prime is 33420699623. The next prime is 33420699707. The reversal of 33420699648 is 84699602433.

33420699648 is a `hidden beast` number, since 33 + 420 + 69 + 96 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×33420699648² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33420699594 and 33420699603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2444640 + ... + 2458272.

It is an arithmetic number, because the mean of its divisors is an integer number (403225550).

Almost surely, 2^33420699648 is an apocalyptic number.

33420699648 is a gapful number since it is divisible by the number (38) 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 33420699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58064479200).

33420699648 is an abundant number, since it is smaller than the sum of its proper divisors (82708258752).

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

33420699648 is a wasteful number, since it uses less digits than its factorization.

33420699648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13687 (or 13664 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 33420699648 in words is "thirty-three billion, four hundred twenty million, six hundred ninety-nine thousand, six hundred forty-eight".