33960061620 has 144 divisors (see below), whose sum is σ = 107670571008. Its totient is φ = 8984545920.

The previous prime is 33960061613. The next prime is 33960061621. The reversal of 33960061620 is 2616006933.

33960061620 is a `hidden beast` number, since 3 + 39 + 6 + 0 + 0 + 616 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33960061621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589710 + ... + 644730.

Almost surely, 2^33960061620 is an apocalyptic number.

33960061620 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 33960061620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53835285504).

33960061620 is an abundant number, since it is smaller than the sum of its proper divisors (73710509388).

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

33960061620 is a wasteful number, since it uses less digits than its factorization.

33960061620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55172 (or 55158 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 33960061620 in words is "thirty-three billion, nine hundred sixty million, sixty-one thousand, six hundred twenty".