4628917826064 has 225 divisors, whose sum is σ = 15116863176623. Its totient is φ = 1322186499648.

The previous prime is 4628917826047. The next prime is 4628917826089. The reversal of 4628917826064 is 4606287198264.

The square root of 4628917826064 is 2151492.

It is a perfect power (a square), and thus also a powerful number.

4628917826064 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 9 + 17 + 8 + 2 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4628917825992 and 4628917826010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1265075467 + ... + 1265079125.

Almost surely, 2^{4628917826064} is an apocalyptic number.

4628917826064 is the 2151492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628917826064

4628917826064 is an abundant number, since it is smaller than the sum of its proper divisors (10487945350559).

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

4628917826064 is an frugal number, since it uses more digits than its factorization.

4628917826064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 4628917826064 in words is "four trillion, six hundred twenty-eight billion, nine hundred seventeen million, eight hundred twenty-six thousand, sixty-four".