33060149640 has 384 divisors, whose sum is σ = 131135846400. Its totient is φ = 7060193280.

The previous prime is 33060149599. The next prime is 33060149641. The reversal of 33060149640 is 4694106033.

33060149640 is a `hidden beast` number, since 3 + 3 + 0 + 6 + 0 + 1 + 4 + 9 + 640 = 666.

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 = 33060149595 and 33060149604.

It is not an unprimeable number, because it can be changed into a prime (33060149641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2258184 + ... + 2272776.

It is an arithmetic number, because the mean of its divisors is an integer number (341499600).

Almost surely, 2^33060149640 is an apocalyptic number.

33060149640 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 33060149640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65567923200).

33060149640 is an abundant number, since it is smaller than the sum of its proper divisors (98075696760).

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

33060149640 is a wasteful number, since it uses less digits than its factorization.

33060149640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14677 (or 14670 counting only the distinct ones).

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

The spelling of 33060149640 in words is "thirty-three billion, sixty million, one hundred forty-nine thousand, six hundred forty".