4701268145680 has 80 divisors (see below), whose sum is σ = 11791782514224. Its totient is φ = 1736495022080.

The previous prime is 4701268145653. The next prime is 4701268145701. The reversal of 4701268145680 is 865418621074.

It can be written as a sum of positive squares in 8 ways, for example, as 25917136144 + 4675351009536 = 160988^2 + 2162256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 32539381 + ... + 32683540.

Almost surely, 2^{4701268145680} is an apocalyptic number.

4701268145680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4701268145680 is an abundant number, since it is smaller than the sum of its proper divisors (7090514368544).

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

4701268145680 is a wasteful number, since it uses less digits than its factorization.

4701268145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65223004 (or 65222998 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 4701268145680 in words is "four trillion, seven hundred one billion, two hundred sixty-eight million, one hundred forty-five thousand, six hundred eighty".