6433274880 has 352 divisors, whose sum is σ = 23080334400. Its totient is φ = 1699282944.

The previous prime is 6433274873. The next prime is 6433274893. The reversal of 6433274880 is 884723346.

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 31 ways as a sum of consecutive naturals, for example, 23915386 + ... + 23915654.

Almost surely, 2^6433274880 is an apocalyptic number.

6433274880 is a gapful number since it is divisible by the number (60) 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 6433274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11540167200).

6433274880 is an abundant number, since it is smaller than the sum of its proper divisors (16647059520).

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

6433274880 is a wasteful number, since it uses less digits than its factorization.

6433274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6433274880 is about 80207.6983836340. The cubic root of 6433274880 is about 1859.8476462098.

The spelling of 6433274880 in words is "six billion, four hundred thirty-three million, two hundred seventy-four thousand, eight hundred eighty".