6450774120 has 384 divisors, whose sum is σ = 25705209600. Its totient is φ = 1409481216.

The previous prime is 6450774019. The next prime is 6450774149. The reversal of 6450774120 is 214770546.

6450774120 is a `hidden beast` number, since 64 + 507 + 74 + 1 + 20 = 666.

It is a super-2 number, since 2×6450774120² = 83224973494523548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3998434 + ... + 4000046.

It is an arithmetic number, because the mean of its divisors is an integer number (66940650).

Almost surely, 2^6450774120 is an apocalyptic number.

6450774120 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 6450774120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852604800).

6450774120 is an abundant number, since it is smaller than the sum of its proper divisors (19254435480).

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

6450774120 is a wasteful number, since it uses less digits than its factorization.

6450774120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 6450774120 is about 80316.7113370561. The cubic root of 6450774120 is about 1861.5324519481.

It can be divided in two parts, 64507741 and 20, that added together give a triangular number (64507761 = T₁₁₃₅₈).

The spelling of 6450774120 in words is "six billion, four hundred fifty million, seven hundred seventy-four thousand, one hundred twenty".