4661945760 has 96 divisors (see below), whose sum is σ = 14904412992. Its totient is φ = 1224622080.

The previous prime is 4661945759. The next prime is 4661945789. The reversal of 4661945760 is 675491664.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 40321 + ... + 104640.

It is an arithmetic number, because the mean of its divisors is an integer number (155254302).

Almost surely, 2^4661945760 is an apocalyptic number.

4661945760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4661945760 is an abundant number, since it is smaller than the sum of its proper divisors (10242467232).

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

4661945760 is a wasteful number, since it uses less digits than its factorization.

4661945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145046 (or 145038 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 4661945760 is about 68278.4428644942. The cubic root of 4661945760 is about 1670.5356141089.

The spelling of 4661945760 in words is "four billion, six hundred sixty-one million, nine hundred forty-five thousand, seven hundred sixty".