33961491397680 has 640 divisors, whose sum is σ = 136997547595776. Its totient is φ = 6754902835200.

The previous prime is 33961491397663. The next prime is 33961491397723. The reversal of 33961491397680 is 8679319416933.

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, 39734182 + ... + 40579898.

Almost surely, 2^{33961491397680} is an apocalyptic number.

33961491397680 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 33961491397680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68498773797888).

33961491397680 is an abundant number, since it is smaller than the sum of its proper divisors (103036056198096).

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

33961491397680 is a wasteful number, since it uses less digits than its factorization.

33961491397680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845845 (or 845839 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 69.

The spelling of 33961491397680 in words is "thirty-three trillion, nine hundred sixty-one billion, four hundred ninety-one million, three hundred ninety-seven thousand, six hundred eighty".