33494199092640 has 768 divisors, whose sum is σ = 137811442728960. Its totient is φ = 7490468597760.

The previous prime is 33494199092639. The next prime is 33494199092671. The reversal of 33494199092640 is 4629099149433.

33494199092640 is a `hidden beast` number, since 3 + 3 + 4 + 9 + 419 + 90 + 92 + 6 + 40 = 666.

It is a super-2 number, since 2×33494199092640² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1027318579 + ... + 1027351181.

It is an arithmetic number, because the mean of its divisors is an integer number (179441982720).

Almost surely, 2^{33494199092640} is an apocalyptic number.

33494199092640 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 33494199092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68905721364480).

33494199092640 is an abundant number, since it is smaller than the sum of its proper divisors (104317243636320).

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

33494199092640 is a wasteful number, since it uses less digits than its factorization.

33494199092640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34314 (or 34300 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 33494199092640 in words is "thirty-three trillion, four hundred ninety-four billion, one hundred ninety-nine million, ninety-two thousand, six hundred forty".