33045656640 has 168 divisors, whose sum is σ = 109681719168. Its totient is φ = 8428907520.

The previous prime is 33045656621. The next prime is 33045656659. The reversal of 33045656640 is 4665654033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33045656621) and next prime (33045656659).

It is a junction number, because it is equal to n+sod(n) for n = 33045656592 and 33045656601.

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, 475305 + ... + 540375.

It is an arithmetic number, because the mean of its divisors is an integer number (652867376).

Almost surely, 2^33045656640 is an apocalyptic number.

33045656640 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 33045656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840859584).

33045656640 is an abundant number, since it is smaller than the sum of its proper divisors (76636062528).

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

33045656640 is a wasteful number, since it uses less digits than its factorization.

33045656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65137 (or 65104 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 33045656640 in words is "thirty-three billion, forty-five million, six hundred fifty-six thousand, six hundred forty".