33422012640 has 480 divisors, whose sum is σ = 124787900160. Its totient is φ = 8410521600.

The previous prime is 33422012627. The next prime is 33422012651. The reversal of 33422012640 is 4621022433.

33422012640 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 2 + 0 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×33422012640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16471146 + ... + 16473174.

It is an arithmetic number, because the mean of its divisors is an integer number (259974792).

Almost surely, 2^33422012640 is an apocalyptic number.

33422012640 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 33422012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62393950080).

33422012640 is an abundant number, since it is smaller than the sum of its proper divisors (91365887520).

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

33422012640 is a wasteful number, since it uses less digits than its factorization.

33422012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 33422012640 in words is "thirty-three billion, four hundred twenty-two million, twelve thousand, six hundred forty".