33122960640 has 1008 divisors, whose sum is σ = 148629672576. Its totient is φ = 6867763200.

The previous prime is 33122960639. The next prime is 33122960641. The reversal of 33122960640 is 4606922133.

33122960640 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 2 + 9 + 6 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (33122960639) and next prime (33122960641).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 33122960595 and 33122960604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122960641) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 71850010 + ... + 71850470.

It is an arithmetic number, because the mean of its divisors is an integer number (147450072).

Almost surely, 2^33122960640 is an apocalyptic number.

33122960640 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 33122960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74314836288).

33122960640 is an abundant number, since it is smaller than the sum of its proper divisors (115506711936).

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

33122960640 is an equidigital number, since it uses as much as digits as its factorization.

33122960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 33122960640 in words is "thirty-three billion, one hundred twenty-two million, nine hundred sixty thousand, six hundred forty".