4688752353480 has 768 divisors, whose sum is σ = 16921504454400. Its totient is φ = 1118911242240.

The previous prime is 4688752353443. The next prime is 4688752353557. The reversal of 4688752353480 is 843532578864.

4688752353480 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 75 + 23 + 534 + 8 + 0 = 666.

It is a super-2 number, since 2×4688752353480² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 6864937219 + ... + 6864937901.

It is an arithmetic number, because the mean of its divisors is an integer number (22033208925).

Almost surely, 2^{4688752353480} is an apocalyptic number.

4688752353480 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 4688752353480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460752227200).

4688752353480 is an abundant number, since it is smaller than the sum of its proper divisors (12232752100920).

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

4688752353480 is a wasteful number, since it uses less digits than its factorization.

4688752353480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 4688752353480 in words is "four trillion, six hundred eighty-eight billion, seven hundred fifty-two million, three hundred fifty-three thousand, four hundred eighty".