4628327040 has 640 divisors, whose sum is σ = 18009446400. Its totient is φ = 1128701952.

The previous prime is 4628327029. The next prime is 4628327069. The reversal of 4628327040 is 407238264.

4628327040 is a `hidden beast` number, since 4 + 628 + 3 + 27 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4628327040² = 42842822378390323200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4628326986 and 4628327004.

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, 36443457 + ... + 36443583.

It is an arithmetic number, because the mean of its divisors is an integer number (28139760).

Almost surely, 2^4628327040 is an apocalyptic number.

4628327040 is a gapful number since it is divisible by the number (40) 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 4628327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004723200).

4628327040 is an abundant number, since it is smaller than the sum of its proper divisors (13381119360).

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

4628327040 is a wasteful number, since it uses less digits than its factorization.

4628327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4628327040 is about 68031.8090307762. The cubic root of 4628327040 is about 1666.5103412490.

The spelling of 4628327040 in words is "four billion, six hundred twenty-eight million, three hundred twenty-seven thousand, forty".