4656961920 has 256 divisors, whose sum is σ = 16361452800. Its totient is φ = 1119412224.

The previous prime is 4656961919. The next prime is 4656961931. The reversal of 4656961920 is 291696564.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4656961920.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1071111 + ... + 1075449.

It is an arithmetic number, because the mean of its divisors is an integer number (63911925).

Almost surely, 2^4656961920 is an apocalyptic number.

4656961920 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 4656961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180726400).

4656961920 is an abundant number, since it is smaller than the sum of its proper divisors (11704490880).

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

4656961920 is a wasteful number, since it uses less digits than its factorization.

4656961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 4656961920 is about 68241.9366665396. The cubic root of 4656961920 is about 1669.9401080509.

The spelling of 4656961920 in words is "four billion, six hundred fifty-six million, nine hundred sixty-one thousand, nine hundred twenty".