4646103325920 has 1920 divisors, whose sum is σ = 19870542590976. Its totient is φ = 1000352415744.

The previous prime is 4646103325909. The next prime is 4646103325937. The reversal of 4646103325920 is 295233016464.

4646103325920 is a `hidden beast` number, since 4 + 6 + 4 + 610 + 3 + 3 + 2 + 5 + 9 + 20 = 666.

It is a super-2 number, since 2×4646103325920² (a number of 26 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16417326099 + ... + 16417326381.

Almost surely, 2^{4646103325920} is an apocalyptic number.

4646103325920 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 4646103325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9935271295488).

4646103325920 is an abundant number, since it is smaller than the sum of its proper divisors (15224439265056).

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

4646103325920 is a wasteful number, since it uses less digits than its factorization.

4646103325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 4646103325920 in words is "four trillion, six hundred forty-six billion, one hundred three million, three hundred twenty-five thousand, nine hundred twenty".