4651871938560 has 1344 divisors, whose sum is σ = 20866987290240. Its totient is φ = 966503301120.

The previous prime is 4651871938541. The next prime is 4651871938579. The reversal of 4651871938560 is 658391781564.

4651871938560 is a `hidden beast` number, since 4 + 6 + 5 + 187 + 19 + 385 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4651871938541) and next prime (4651871938579).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 574797874 + ... + 574805966.

It is an arithmetic number, because the mean of its divisors is an integer number (15526032210).

Almost surely, 2^{4651871938560} is an apocalyptic number.

4651871938560 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 4651871938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10433493645120).

4651871938560 is an abundant number, since it is smaller than the sum of its proper divisors (16215115351680).

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

4651871938560 is an equidigital number, since it uses as much as digits as its factorization.

4651871938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 4651871938560 in words is "four trillion, six hundred fifty-one billion, eight hundred seventy-one million, nine hundred thirty-eight thousand, five hundred sixty".