33142976640 has 192 divisors, whose sum is σ = 115350543360. Its totient is φ = 8768342016.

The previous prime is 33142976611. The next prime is 33142976663. The reversal of 33142976640 is 4667924133.

33142976640 is a `hidden beast` number, since 3 + 314 + 297 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 708867 + ... + 754173.

It is an arithmetic number, because the mean of its divisors is an integer number (600784080).

Almost surely, 2^33142976640 is an apocalyptic number.

33142976640 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 33142976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57675271680).

33142976640 is an abundant number, since it is smaller than the sum of its proper divisors (82207566720).

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

33142976640 is a wasteful number, since it uses less digits than its factorization.

33142976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45459 (or 45444 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 33142976640 in words is "thirty-three billion, one hundred forty-two million, nine hundred seventy-six thousand, six hundred forty".