4628407680 has 384 divisors, whose sum is σ = 17395953120. Its totient is φ = 1127153664.

The previous prime is 4628407643. The next prime is 4628407697. The reversal of 4628407680 is 867048264.

4628407680 is a `hidden beast` number, since 462 + 8 + 40 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8461167 + ... + 8461713.

Almost surely, 2^4628407680 is an apocalyptic number.

4628407680 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 4628407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697976560).

4628407680 is an abundant number, since it is smaller than the sum of its proper divisors (12767545440).

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

4628407680 is a wasteful number, since it uses less digits than its factorization.

4628407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4628407680 is about 68032.4016921349. The cubic root of 4628407680 is about 1666.5200198083.

The spelling of 4628407680 in words is "four billion, six hundred twenty-eight million, four hundred seven thousand, six hundred eighty".