33482672190 has 128 divisors (see below), whose sum is σ = 98315389440. Its totient is φ = 8041075200.

The previous prime is 33482672189. The next prime is 33482672227. The reversal of 33482672190 is 9127628433.

33482672190 is a `hidden beast` number, since 3 + 3 + 482 + 67 + 21 + 90 = 666.

It is a super-2 number, since 2×33482672190² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265110 + ... + 370470.

It is an arithmetic number, because the mean of its divisors is an integer number (768088980).

Almost surely, 2^33482672190 is an apocalyptic number.

33482672190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33482672190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49157694720).

33482672190 is an abundant number, since it is smaller than the sum of its proper divisors (64832717250).

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

33482672190 is a wasteful number, since it uses less digits than its factorization.

33482672190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105495 (or 105489 counting only the distinct ones).

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

The spelling of 33482672190 in words is "thirty-three billion, four hundred eighty-two million, six hundred seventy-two thousand, one hundred ninety".