33427298016 has 576 divisors, whose sum is σ = 120645697536. Its totient is φ = 8559820800.

The previous prime is 33427297997. The next prime is 33427298027. The reversal of 33427298016 is 61089272433.

33427298016 is a `hidden beast` number, since 3 + 342 + 7 + 298 + 0 + 16 = 666.

It is a super-2 number, since 2×33427298016² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77557321 + ... + 77557751.

It is an arithmetic number, because the mean of its divisors is an integer number (209454336).

Almost surely, 2^33427298016 is an apocalyptic number.

33427298016 is a gapful number since it is divisible by the number (36) 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 33427298016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60322848768).

33427298016 is an abundant number, since it is smaller than the sum of its proper divisors (87218399520).

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

33427298016 is a wasteful number, since it uses less digits than its factorization.

33427298016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 33427298016 in words is "thirty-three billion, four hundred twenty-seven million, two hundred ninety-eight thousand, sixteen".