33620145120 has 720 divisors, whose sum is σ = 128834066592. Its totient is φ = 8238827520.

The previous prime is 33620145101. The next prime is 33620145197. The reversal of 33620145120 is 2154102633.

33620145120 is a `hidden beast` number, since 3 + 3 + 6 + 201 + 451 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×33620145120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 551149890 + ... + 551149950.

Almost surely, 2^33620145120 is an apocalyptic number.

33620145120 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 33620145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417033296).

33620145120 is an abundant number, since it is smaller than the sum of its proper divisors (95213921472).

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

33620145120 is a wasteful number, since it uses less digits than its factorization.

33620145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 33620145120 its reverse (2154102633), we get a palindrome (35774247753).

The spelling of 33620145120 in words is "thirty-three billion, six hundred twenty million, one hundred forty-five thousand, one hundred twenty".