4806429969600 has 1176 divisors, whose sum is σ = 21332563319040. Its totient is φ = 1040757258240.

The previous prime is 4806429969599. The next prime is 4806429969703. The reversal of 4806429969600 is 69699246084.

4806429969600 is a `hidden beast` number, since 480 + 6 + 4 + 2 + 9 + 96 + 9 + 60 + 0 = 666.

It is a super-3 number, since 3×4806429969600³ (a number of 39 digits) contains 333 as substring.

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 167 ways as a sum of consecutive naturals, for example, 155115709 + ... + 155146691.

Almost surely, 2^{4806429969600} is an apocalyptic number.

4806429969600 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 4806429969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666281659520).

4806429969600 is an abundant number, since it is smaller than the sum of its proper divisors (16526133349440).

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

4806429969600 is a wasteful number, since it uses less digits than its factorization.

4806429969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31049 (or 31019 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 4806429969600 in words is "four trillion, eight hundred six billion, four hundred twenty-nine million, nine hundred sixty-nine thousand, six hundred".