4628085396480 has 4224 divisors, whose sum is σ = 22973353267200. Its totient is φ = 857670156288.

The previous prime is 4628085396443. The next prime is 4628085396503. The reversal of 4628085396480 is 846935808264.

4628085396480 is a `hidden beast` number, since 4 + 62 + 8 + 0 + 8 + 5 + 3 + 96 + 480 = 666.

It is a super-2 number, since 2×4628085396480² (a number of 26 digits) contains 22 as substring.

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

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 383 ways as a sum of consecutive naturals, for example, 69075901407 + ... + 69075901473.

Almost surely, 2^{4628085396480} is an apocalyptic number.

4628085396480 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 4628085396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486676633600).

4628085396480 is an abundant number, since it is smaller than the sum of its proper divisors (18345267870720).

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

4628085396480 is a wasteful number, since it uses less digits than its factorization.

4628085396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 4628085396480 in words is "four trillion, six hundred twenty-eight billion, eighty-five million, three hundred ninety-six thousand, four hundred eighty".