33480907680 has 768 divisors, whose sum is σ = 125076897792. Its totient is φ = 7451136000.

The previous prime is 33480907657. The next prime is 33480907699. The reversal of 33480907680 is 8670908433.

It is a super-2 number, since 2×33480907680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 471562045 + ... + 471562115.

It is an arithmetic number, because the mean of its divisors is an integer number (162860544).

Almost surely, 2^33480907680 is an apocalyptic number.

33480907680 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 33480907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62538448896).

33480907680 is an abundant number, since it is smaller than the sum of its proper divisors (91595990112).

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

33480907680 is a wasteful number, since it uses less digits than its factorization.

33480907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 33480907680 in words is "thirty-three billion, four hundred eighty million, nine hundred seven thousand, six hundred eighty".