4668154930560 has 256 divisors, whose sum is σ = 16237243825920. Its totient is φ = 1131339571200.

The previous prime is 4668154930559. The next prime is 4668154930567. The reversal of 4668154930560 is 650394518664.

It is a self number, because there is not a number n which added to its sum of digits gives 4668154930560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668154930567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75599859 + ... + 75661581.

It is an arithmetic number, because the mean of its divisors is an integer number (63426733695).

Almost surely, 2^{4668154930560} is an apocalyptic number.

4668154930560 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 4668154930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118621912960).

4668154930560 is an abundant number, since it is smaller than the sum of its proper divisors (11569088895360).

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

4668154930560 is a wasteful number, since it uses less digits than its factorization.

4668154930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65337 (or 65325 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 4668154930560 in words is "four trillion, six hundred sixty-eight billion, one hundred fifty-four million, nine hundred thirty thousand, five hundred sixty".