4746830208480 has 120 divisors (see below), whose sum is σ = 16752354989832. Its totient is φ = 1265821385472.

The previous prime is 4746830208451. The next prime is 4746830208481. The reversal of 4746830208480 is 848020386474.

It is a happy number.

4746830208480 is a `hidden beast` number, since 4 + 7 + 468 + 3 + 0 + 20 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4746830208481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183120922 + ... + 183146841.

Almost surely, 2^{4746830208480} is an apocalyptic number.

4746830208480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4746830208480 is an abundant number, since it is smaller than the sum of its proper divisors (12005524781352).

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

4746830208480 is a wasteful number, since it uses less digits than its factorization.

4746830208480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366267790 (or 366267773 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4746830208480 in words is "four trillion, seven hundred forty-six billion, eight hundred thirty million, two hundred eight thousand, four hundred eighty".