33432730540 has 96 divisors (see below), whose sum is σ = 80087616000. Its totient is φ = 11604595200.

The previous prime is 33432730537. The next prime is 33432730567. The reversal of 33432730540 is 4503723433.

It is a super-2 number, since 2×33432730540² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33432730496 and 33432730505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2518320 + ... + 2531560.

It is an arithmetic number, because the mean of its divisors is an integer number (834246000).

Almost surely, 2^33432730540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33432730540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40043808000).

33432730540 is an abundant number, since it is smaller than the sum of its proper divisors (46654885460).

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

33432730540 is a wasteful number, since it uses less digits than its factorization.

33432730540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13783 (or 13781 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 34.

The spelling of 33432730540 in words is "thirty-three billion, four hundred thirty-two million, seven hundred thirty thousand, five hundred forty".