33134746680 has 512 divisors, whose sum is σ = 134438400000. Its totient is φ = 7242504192.

The previous prime is 33134746651. The next prime is 33134746721. The reversal of 33134746680 is 8664743133.

33134746680 is a `hidden beast` number, since 33 + 13 + 474 + 66 + 80 = 666.

It is a super-2 number, since 2×33134746680² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 8518176 + ... + 8522064.

It is an arithmetic number, because the mean of its divisors is an integer number (262575000).

Almost surely, 2^33134746680 is an apocalyptic number.

33134746680 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 33134746680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67219200000).

33134746680 is an abundant number, since it is smaller than the sum of its proper divisors (101303653320).

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

33134746680 is a wasteful number, since it uses less digits than its factorization.

33134746680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 33134746680 in words is "thirty-three billion, one hundred thirty-four million, seven hundred forty-six thousand, six hundred eighty".